Search a number
-
+
116172288 = 2932171483
BaseRepresentation
bin1101110110010…
…10011000000000
322002121011102100
412323022120000
5214220003123
615305550400
72610306501
oct673123000
9262534370
10116172288
115a637a61
1232aa5400
131b0b68cb
1411600ba8
15a2eb643
hex6eca600

116172288 has 120 divisors (see below), whose sum is σ = 355242888. Its totient is φ = 36421632.

The previous prime is 116172257. The next prime is 116172299. The reversal of 116172288 is 882271611.

116172288 is a `hidden beast` number, since 11 + 617 + 2 + 28 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 77595 + ... + 79077.

Almost surely, 2116172288 is an apocalyptic number.

116172288 is a gapful number since it is divisible by the number (18) 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 116172288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177621444).

116172288 is an abundant number, since it is smaller than the sum of its proper divisors (239070600).

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

116172288 is a wasteful number, since it uses less digits than its factorization.

116172288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1505 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The square root of 116172288 is about 10778.3249162381. The cubic root of 116172288 is about 487.9412273571.

The spelling of 116172288 in words is "one hundred sixteen million, one hundred seventy-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 512 544 576 612 768 816 1088 1152 1224 1483 1536 1632 2176 2304 2448 2966 3264 4352 4449 4608 4896 5932 6528 8704 8898 9792 11864 13056 13347 17796 19584 23728 25211 26112 26694 35592 39168 47456 50422 53388 71184 75633 78336 94912 100844 106776 142368 151266 189824 201688 213552 226899 284736 302532 379648 403376 427104 453798 569472 605064 759296 806752 854208 907596 1138944 1210128 1613504 1708416 1815192 2277888 2420256 3227008 3416832 3630384 4840512 6454016 6833664 7260768 9681024 12908032 14521536 19362048 29043072 38724096 58086144 116172288