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115086972 = 223711213267
BaseRepresentation
bin1101101110000…
…01011001111100
322000120000122110
412313001121330
5213430240342
615230414020
72565136350
oct667013174
9260500573
10115086972
1159a66600
1232661310
131aac6900
14113db460
15a184c9c
hex6dc167c

115086972 has 216 divisors, whose sum is σ = 370731648. Its totient is φ = 27181440.

The previous prime is 115086967. The next prime is 115086977. The reversal of 115086972 is 279680511.

It is an interprime number because it is at equal distance from previous prime (115086967) and next prime (115086977).

It is a super-2 number, since 2×1150869722 = 26490022248257568, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 115086972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115086977) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1717683 + ... + 1717749.

Almost surely, 2115086972 is an apocalyptic number.

115086972 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 115086972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185365824).

115086972 is an abundant number, since it is smaller than the sum of its proper divisors (255644676).

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

115086972 is a wasteful number, since it uses less digits than its factorization.

115086972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The square root of 115086972 is about 10727.8596187683. The cubic root of 115086972 is about 486.4169735157.

The spelling of 115086972 in words is "one hundred fifteen million, eighty-six thousand, nine hundred seventy-two".