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115382136 = 23319401631
BaseRepresentation
bin1101110000010…
…01011101111000
322001010000112110
412320021131320
5214014212021
615241012320
72600506032
oct670113570
9261100473
10115382136
115a148341
12327840a0
131ab9b06c
1411476c52
15a1e2476
hex6e09778

115382136 has 64 divisors (see below), whose sum is σ = 304876800. Its totient is φ = 36288000.

The previous prime is 115382123. The next prime is 115382149. The reversal of 115382136 is 631283511.

It is an interprime number because it is at equal distance from previous prime (115382123) and next prime (115382149).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182541 + ... + 183171.

It is an arithmetic number, because the mean of its divisors is an integer number (4763700).

Almost surely, 2115382136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115382136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152438400).

115382136 is an abundant number, since it is smaller than the sum of its proper divisors (189494664).

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

115382136 is a wasteful number, since it uses less digits than its factorization.

115382136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1056 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 115382136 is about 10741.6077008984. The cubic root of 115382136 is about 486.8324570152.

The spelling of 115382136 in words is "one hundred fifteen million, three hundred eighty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 401 456 631 802 1203 1262 1604 1893 2406 2524 3208 3786 4812 5048 7572 7619 9624 11989 15144 15238 22857 23978 30476 35967 45714 47956 60952 71934 91428 95912 143868 182856 253031 287736 506062 759093 1012124 1518186 2024248 3036372 4807589 6072744 9615178 14422767 19230356 28845534 38460712 57691068 115382136