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116852832 = 25321729823
BaseRepresentation
bin1101111011100…
…00100001100000
322010212201221200
412331300201200
5214403242312
615332321200
72616142545
oct675604140
9263781850
10116852832
115aa62298
1233173200
131b2945b5
141173abcc
15a3d30dc
hex6f70860

116852832 has 144 divisors (see below), whose sum is σ = 364422240. Its totient is φ = 35352576.

The previous prime is 116852819. The next prime is 116852833. The reversal of 116852832 is 238258611.

It is a happy number.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116852833) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141573 + ... + 142395.

It is an arithmetic number, because the mean of its divisors is an integer number (2530710).

Almost surely, 2116852832 is an apocalyptic number.

116852832 is a gapful number since it is divisible by the number (12) 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 116852832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182211120).

116852832 is an abundant number, since it is smaller than the sum of its proper divisors (247569408).

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

116852832 is a wasteful number, since it uses less digits than its factorization.

116852832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 874 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 116852832 is about 10809.8488426064. The cubic root of 116852832 is about 488.8921688791.

The spelling of 116852832 in words is "one hundred sixteen million, eight hundred fifty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 29 32 34 36 48 51 58 68 72 87 96 102 116 136 144 153 174 204 232 261 272 288 306 348 408 464 493 522 544 612 696 816 823 928 986 1044 1224 1392 1479 1632 1646 1972 2088 2448 2469 2784 2958 3292 3944 4176 4437 4896 4938 5916 6584 7407 7888 8352 8874 9876 11832 13168 13991 14814 15776 17748 19752 23664 23867 26336 27982 29628 35496 39504 41973 47328 47734 55964 59256 70992 71601 79008 83946 95468 111928 118512 125919 141984 143202 167892 190936 214803 223856 237024 251838 286404 335784 381872 405739 429606 447712 503676 572808 671568 763744 811478 859212 1007352 1145616 1217217 1343136 1622956 1718424 2014704 2291232 2434434 3245912 3436848 3651651 4029408 4868868 6491824 6873696 7303302 9737736 12983648 14606604 19475472 29213208 38950944 58426416 116852832