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115116552 = 2334593011
BaseRepresentation
bin1101101110010…
…00101000001000
322000121112020000
412313020220020
5213432212202
615231203000
72565321525
oct667105010
9260545200
10115116552
1159a86851
1232676460
131ab07205
141140814c
15a18d91c
hex6dc8a08

115116552 has 80 divisors (see below), whose sum is σ = 328006800. Its totient is φ = 37709280.

The previous prime is 115116539. The next prime is 115116553. The reversal of 115116552 is 255611511.

115116552 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 1 + 655 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (115116553) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 36727 + ... + 39737.

It is an arithmetic number, because the mean of its divisors is an integer number (4100085).

Almost surely, 2115116552 is an apocalyptic number.

115116552 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 115116552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164003400).

115116552 is an abundant number, since it is smaller than the sum of its proper divisors (212890248).

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

115116552 is a wasteful number, since it uses less digits than its factorization.

115116552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3088 (or 3075 counting only the distinct ones).

The product of its digits is 1500, while the sum is 27.

The square root of 115116552 is about 10729.2381835804. The cubic root of 115116552 is about 486.4586433975.

The spelling of 115116552 in words is "one hundred fifteen million, one hundred sixteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 81 108 118 162 177 216 236 324 354 472 531 648 708 1062 1416 1593 2124 3011 3186 4248 4779 6022 6372 9033 9558 12044 12744 18066 19116 24088 27099 36132 38232 54198 72264 81297 108396 162594 177649 216792 243891 325188 355298 487782 532947 650376 710596 975564 1065894 1421192 1598841 1951128 2131788 3197682 4263576 4796523 6395364 9593046 12790728 14389569 19186092 28779138 38372184 57558276 115116552