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1268275320 = 233551310037
BaseRepresentation
bin100101110011000…
…0101100001111000
310021101111001200000
41023212011201320
510044134302240
6325503313000
743300106454
oct11346054170
93241431600
101268275320
115a09aa024
122b48ab760
131729aac90
14c0623664
1576525430
hex4b985878

1268275320 has 192 divisors, whose sum is σ = 4603828320. Its totient is φ = 312159744.

The previous prime is 1268275303. The next prime is 1268275399. The reversal of 1268275320 is 235728621.

1268275320 is a `hidden beast` number, since 1 + 2 + 68 + 275 + 320 = 666.

It is a super-2 number, since 2×12682753202 = 3217044574642204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121342 + ... + 131378.

Almost surely, 21268275320 is an apocalyptic number.

1268275320 is a gapful number since it is divisible by the number (10) 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 1268275320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2301914160).

1268275320 is an abundant number, since it is smaller than the sum of its proper divisors (3335553000).

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

1268275320 is a wasteful number, since it uses less digits than its factorization.

1268275320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10076 (or 10060 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1268275320 is about 35612.8532976508. The cubic root of 1268275320 is about 1082.4416977953.

The spelling of 1268275320 in words is "one billion, two hundred sixty-eight million, two hundred seventy-five thousand, three hundred twenty".