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61064430 = 23572937271
BaseRepresentation
bin1110100011110…
…0010011101110
311020220101122120
43220330103232
5111113030210
610020453410
71341016260
oct350742356
9136811576
1061064430
1131518679
121854a266
13c8605cb
148177b30
155563270
hex3a3c4ee

61064430 has 128 divisors (see below), whose sum is σ = 178606080. Its totient is φ = 13063680.

The previous prime is 61064417. The next prime is 61064431. The reversal of 61064430 is 3446016.

It is a super-2 number, since 2×610644302 = 7457729222449800, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 61064430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61064431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 225195 + ... + 225465.

It is an arithmetic number, because the mean of its divisors is an integer number (1395360).

Almost surely, 261064430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61064430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89303040).

61064430 is an abundant number, since it is smaller than the sum of its proper divisors (117541650).

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

61064430 is a wasteful number, since it uses less digits than its factorization.

61064430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 61064430 is about 7814.3732954089. The cubic root of 61064430 is about 393.7882643590.

The spelling of 61064430 in words is "sixty-one million, sixty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 37 42 58 70 74 87 105 111 145 174 185 203 210 222 259 271 290 370 406 435 518 542 555 609 777 813 870 1015 1073 1110 1218 1295 1355 1554 1626 1897 2030 2146 2590 2710 3045 3219 3794 3885 4065 5365 5691 6090 6438 7511 7770 7859 8130 9485 10027 10730 11382 15022 15718 16095 18970 20054 22533 23577 28455 30081 32190 37555 39295 45066 47154 50135 55013 56910 60162 70189 75110 78590 100270 110026 112665 117885 140378 150405 165039 210567 225330 235770 275065 290783 300810 330078 350945 421134 550130 581566 701890 825195 872349 1052835 1453915 1650390 1744698 2035481 2105670 2907830 4070962 4361745 6106443 8723490 10177405 12212886 20354810 30532215 61064430