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61069536 = 25321137521
BaseRepresentation
bin1110100011110…
…1100011100000
311020220122122200
43220331203200
5111113211121
610020533200
71341040203
oct350754340
9136818580
1061069536
11315214a0
1218551200
13c862a28
14817993a
155564a26
hex3a3d8e0

61069536 has 144 divisors (see below), whose sum is σ = 194948208. Its totient is φ = 17971200.

The previous prime is 61069529. The next prime is 61069643. The reversal of 61069536 is 63596016.

61069536 is a `hidden beast` number, since 61 + 0 + 69 + 536 = 666.

61069536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 61069536.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116956 + ... + 117476.

It is an arithmetic number, because the mean of its divisors is an integer number (1353807).

Almost surely, 261069536 is an apocalyptic number.

61069536 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61069536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97474104).

61069536 is an abundant number, since it is smaller than the sum of its proper divisors (133878672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61069536 is a wasteful number, since it uses less digits than its factorization.

61069536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 61069536 is about 7814.6999942416. The cubic root of 61069536 is about 393.7992397983.

The spelling of 61069536 in words is "sixty-one million, sixty-nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 37 44 48 66 72 74 88 96 99 111 132 144 148 176 198 222 264 288 296 333 352 396 407 444 521 528 592 666 792 814 888 1042 1056 1184 1221 1332 1563 1584 1628 1776 2084 2442 2664 3126 3168 3256 3552 3663 4168 4689 4884 5328 5731 6252 6512 7326 8336 9378 9768 10656 11462 12504 13024 14652 16672 17193 18756 19277 19536 22924 25008 29304 34386 37512 38554 39072 45848 50016 51579 57831 58608 68772 75024 77108 91696 103158 115662 117216 137544 150048 154216 173493 183392 206316 212047 231324 275088 308432 346986 412632 424094 462648 550176 616864 636141 693972 825264 848188 925296 1272282 1387944 1650528 1696376 1850592 1908423 2544564 2775888 3392752 3816846 5089128 5551776 6785504 7633692 10178256 15267384 20356512 30534768 61069536