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375113640 = 2335113189103
BaseRepresentation
bin10110010110111…
…100011110101000
3222010211202011210
4112112330132220
51232012114030
6101115553120
712203261526
oct2626743650
9863752153
10375113640
11182818480
12a575b7a0
135c93a045
1437b67316
1522de9bb0
hex165bc7a8

375113640 has 256 divisors, whose sum is σ = 1293926400. Its totient is φ = 86169600.

The previous prime is 375113623. The next prime is 375113657. The reversal of 375113640 is 46311573.

It is an interprime number because it is at equal distance from previous prime (375113623) and next prime (375113657).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 375113598 and 375113607.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3641829 + ... + 3641931.

It is an arithmetic number, because the mean of its divisors is an integer number (5054400).

Almost surely, 2375113640 is an apocalyptic number.

375113640 is a gapful number since it is divisible by the number (30) 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 375113640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646963200).

375113640 is an abundant number, since it is smaller than the sum of its proper divisors (918812760).

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

375113640 is a wasteful number, since it uses less digits than its factorization.

375113640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 375113640 is about 19367.8506809610. The cubic root of 375113640 is about 721.1976210151.

It can be divided in two parts, 3751 and 13640, that added together give a triangular number (17391 = T186).

The spelling of 375113640 in words is "three hundred seventy-five million, one hundred thirteen thousand, six hundred forty".