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115032852 = 223311372617
BaseRepresentation
bin1101101101101…
…00001100010100
322000110021102000
412312310030110
5213422022402
615225315300
72564522514
oct666641424
9260407360
10115032852
1159a29980
1232635b30
131aaa809c
14113c5844
15a173c1c
hex6db4314

115032852 has 96 divisors (see below), whose sum is σ = 334266240. Its totient is φ = 33903360.

The previous prime is 115032817. The next prime is 115032871. The reversal of 115032852 is 258230511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 42648 + ... + 45264.

It is an arithmetic number, because the mean of its divisors is an integer number (3481940).

Almost surely, 2115032852 is an apocalyptic number.

115032852 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 115032852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167133120).

115032852 is an abundant number, since it is smaller than the sum of its proper divisors (219233388).

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

115032852 is a wasteful number, since it uses less digits than its factorization.

115032852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2678 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 115032852 is about 10725.3369177849. The cubic root of 115032852 is about 486.3407152052.

The spelling of 115032852 in words is "one hundred fifteen million, thirty-two thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 37 44 54 66 74 99 108 111 132 148 198 222 297 333 396 407 444 594 666 814 999 1188 1221 1332 1628 1998 2442 2617 3663 3996 4884 5234 7326 7851 10468 10989 14652 15702 21978 23553 28787 31404 43956 47106 57574 70659 86361 94212 96829 115148 141318 172722 193658 259083 282636 290487 345444 387316 518166 580974 777249 871461 1036332 1065119 1161948 1554498 1742922 2130238 2614383 3108996 3195357 3485844 4260476 5228766 6390714 9586071 10457532 12781428 19172142 28758213 38344284 57516426 115032852