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115950912 = 26371122331
BaseRepresentation
bin1101110100101…
…00010101000000
322002011220202020
412322110111000
5214140412122
615301121440
72605365210
oct672242500
9262156666
10115950912
115a4a6700
12329b9280
131b039c0c
1411584240
15a2a5c5c
hex6e94540

115950912 has 336 divisors, whose sum is σ = 415113216. Its totient is φ = 27878400.

The previous prime is 115950899. The next prime is 115950949. The reversal of 115950912 is 219059511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×1159509122 = 26889227987263488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 47 ways as a sum of consecutive naturals, for example, 3740337 + ... + 3740367.

It is an arithmetic number, because the mean of its divisors is an integer number (1235456).

Almost surely, 2115950912 is an apocalyptic number.

115950912 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 115950912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207556608).

115950912 is an abundant number, since it is smaller than the sum of its proper divisors (299162304).

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

115950912 is a wasteful number, since it uses less digits than its factorization.

115950912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 33.

The square root of 115950912 is about 10768.0505199409. The cubic root of 115950912 is about 487.6310926871.

The spelling of 115950912 in words is "one hundred fifteen million, nine hundred fifty thousand, nine hundred twelve".