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61093120 = 285114339
BaseRepresentation
bin1110100100001…
…1010100000000
311020221212000011
43221003110000
5111114434440
610021234304
71341166024
oct351032400
9136855004
1061093120
1131538190
1218562994
13c87069a
148184384
15556b9ea
hex3a43500

61093120 has 72 divisors (see below), whose sum is σ = 159677280. Its totient is φ = 22210560.

The previous prime is 61093117. The next prime is 61093127. The reversal of 61093120 is 2139016.

It is a super-2 number, since 2×610931202 = 7464738622668800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 61093091 and 61093100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61093127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11911 + ... + 16249.

It is an arithmetic number, because the mean of its divisors is an integer number (2217740).

Almost surely, 261093120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79838640).

61093120 is an abundant number, since it is smaller than the sum of its proper divisors (98584160).

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

61093120 is a wasteful number, since it uses less digits than its factorization.

61093120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4371 (or 4357 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 61093120 is about 7816.2087996675. The cubic root of 61093120 is about 393.8499260957.

It can be divided in two parts, 6109 and 3120, that added together give a palindrome (9229).

The spelling of 61093120 in words is "sixty-one million, ninety-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 704 880 1280 1408 1760 2816 3520 4339 7040 8678 14080 17356 21695 34712 43390 47729 69424 86780 95458 138848 173560 190916 238645 277696 347120 381832 477290 555392 694240 763664 954580 1110784 1388480 1527328 1909160 2776960 3054656 3818320 5553920 6109312 7636640 12218624 15273280 30546560 61093120