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61910112 = 25311232549
BaseRepresentation
bin1110110000101…
…0110001100000
311022111100201010
43230022301200
5111322110422
610050540520
71351140645
oct354126140
9138440633
1061910112
1131a45a90
1218897740
13ca98504
148317dcc
15567db0c
hex3b0ac60

61910112 has 96 divisors (see below), whose sum is σ = 185068800. Its totient is φ = 17937920.

The previous prime is 61910111. The next prime is 61910117. The reversal of 61910112 is 21101916.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61910111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23014 + ... + 25562.

It is an arithmetic number, because the mean of its divisors is an integer number (1927800).

Almost surely, 261910112 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 61910112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92534400).

61910112 is an abundant number, since it is smaller than the sum of its proper divisors (123158688).

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

61910112 is a wasteful number, since it uses less digits than its factorization.

61910112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596 (or 2588 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

The square root of 61910112 is about 7868.2979099676. The cubic root of 61910112 is about 395.5977958978.

It can be divided in two parts, 619 and 10112, that added together give a triangular number (10731 = T146).

The spelling of 61910112 in words is "sixty-one million, nine hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 66 69 88 92 96 132 138 176 184 253 264 276 352 368 506 528 552 736 759 1012 1056 1104 1518 2024 2208 2549 3036 4048 5098 6072 7647 8096 10196 12144 15294 20392 24288 28039 30588 40784 56078 58627 61176 81568 84117 112156 117254 122352 168234 175881 224312 234508 244704 336468 351762 448624 469016 644897 672936 703524 897248 938032 1289794 1345872 1407048 1876064 1934691 2579588 2691744 2814096 3869382 5159176 5628192 7738764 10318352 15477528 20636704 30955056 61910112