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427626160 = 245131719267
BaseRepresentation
bin11001011111010…
…000111010110000
31002210122122210221
4121133100322300
51333433014120
6110233302424
713411522333
oct3137207260
91083578727
10427626160
111aa424955
12bb264a14
136a794c40
1440b1661a
152781e0aa
hex197d0eb0

427626160 has 240 divisors, whose sum is σ = 1214359776. Its totient is φ = 138682368.

The previous prime is 427626107. The next prime is 427626169. The reversal of 427626160 is 61626724.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (427626169) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6382447 + ... + 6382513.

Almost surely, 2427626160 is an apocalyptic number.

427626160 is a gapful number since it is divisible by the number (40) 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 427626160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607179888).

427626160 is an abundant number, since it is smaller than the sum of its proper divisors (786733616).

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

427626160 is a wasteful number, since it uses less digits than its factorization.

427626160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 427626160 is about 20679.1237725393. The cubic root of 427626160 is about 753.3927242358.

The spelling of 427626160 in words is "four hundred twenty-seven million, six hundred twenty-six thousand, one hundred sixty".