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116161056 = 25321137991
BaseRepresentation
bin1101110110001…
…11101000100000
322002120121000100
412323013220200
5214214123211
615305422400
72610231654
oct673075040
9262517010
10116161056
115a62a580
1232a9aa00
131b0b176b
14115daa64
15a2e8156
hex6ec7a20

116161056 has 144 divisors (see below), whose sum is σ = 370476288. Its totient is φ = 34214400.

The previous prime is 116161039. The next prime is 116161081. The reversal of 116161056 is 650161611.

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

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, 116721 + ... + 117711.

It is an arithmetic number, because the mean of its divisors is an integer number (2572752).

Almost surely, 2116161056 is an apocalyptic number.

116161056 is a gapful number since it is divisible by the number (16) 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 116161056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185238144).

116161056 is an abundant number, since it is smaller than the sum of its proper divisors (254315232).

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

116161056 is a wasteful number, since it uses less digits than its factorization.

116161056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 116161056 is about 10777.8038579295. The cubic root of 116161056 is about 487.9255014825.

The spelling of 116161056 in words is "one hundred sixteen million, one hundred sixty-one thousand, fifty-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 99 111 132 144 148 176 198 222 264 288 296 333 352 396 407 444 528 592 666 792 814 888 991 1056 1184 1221 1332 1584 1628 1776 1982 2442 2664 2973 3168 3256 3552 3663 3964 4884 5328 5946 6512 7326 7928 8919 9768 10656 10901 11892 13024 14652 15856 17838 19536 21802 23784 29304 31712 32703 35676 36667 39072 43604 47568 58608 65406 71352 73334 87208 95136 98109 110001 117216 130812 142704 146668 174416 196218 220002 261624 285408 293336 330003 348832 392436 403337 440004 523248 586672 660006 784872 806674 880008 1046496 1173344 1210011 1320012 1569744 1613348 1760016 2420022 2640024 3139488 3226696 3520032 3630033 4840044 5280048 6453392 7260066 9680088 10560096 12906784 14520132 19360176 29040264 38720352 58080528 116161056