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115996752 = 24332947197
BaseRepresentation
bin1101110100111…
…11100001010000
322002021020122000
412322133201100
5214143344002
615302114000
72605645644
oct672374120
9262236560
10115996752
115a528093
1232a1b900
131b054a41
1411596c24
15a2b461c
hex6e9f850

115996752 has 160 divisors (see below), whose sum is σ = 353548800. Its totient is φ = 36352512.

The previous prime is 115996721. The next prime is 115996787. The reversal of 115996752 is 257699511.

115996752 is a `hidden beast` number, since 1 + 1 + 599 + 6 + 7 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 115996698 and 115996707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 588718 + ... + 588914.

It is an arithmetic number, because the mean of its divisors is an integer number (2209680).

Almost surely, 2115996752 is an apocalyptic number.

115996752 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 115996752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176774400).

115996752 is an abundant number, since it is smaller than the sum of its proper divisors (237552048).

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

115996752 is a wasteful number, since it uses less digits than its factorization.

115996752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 278 counting only the distinct ones).

The product of its digits is 170100, while the sum is 45.

The square root of 115996752 is about 10770.1788285989. The cubic root of 115996752 is about 487.6953441991.

The spelling of 115996752 in words is "one hundred fifteen million, nine hundred ninety-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 47 48 54 58 72 87 94 108 116 141 144 174 188 197 216 232 261 282 348 376 394 423 432 464 522 564 591 696 752 783 788 846 1044 1128 1182 1269 1363 1392 1566 1576 1692 1773 2088 2256 2364 2538 2726 3132 3152 3384 3546 4089 4176 4728 5076 5319 5452 5713 6264 6768 7092 8178 9259 9456 10152 10638 10904 11426 12267 12528 14184 16356 17139 18518 20304 21276 21808 22852 24534 27777 28368 32712 34278 36801 37036 42552 45704 49068 51417 55554 65424 68556 73602 74072 83331 85104 91408 98136 102834 111108 137112 147204 148144 154251 166662 196272 205668 222216 249993 268511 274224 294408 308502 333324 411336 444432 499986 537022 588816 617004 666648 805533 822672 999972 1074044 1234008 1333296 1611066 1999944 2148088 2416599 2468016 3222132 3999888 4296176 4833198 6444264 7249797 9666396 12888528 14499594 19332792 28999188 38665584 57998376 115996752