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1268696520 = 233457132331
BaseRepresentation
bin100101110011110…
…1100010111001000
310021102021110110000
41023213230113020
510044241242040
6325520323000
743303512450
oct11347542710
93242243400
101268696520
115a1167523
122b4a73460
13172ac7900
14c06d2d60
15765aa130
hex4b9ec5c8

1268696520 has 480 divisors, whose sum is σ = 5293062720. Its totient is φ = 266872320.

The previous prime is 1268696489. The next prime is 1268696531. The reversal of 1268696520 is 256968621.

1268696520 is a `hidden beast` number, since 1 + 2 + 68 + 69 + 6 + 520 = 666.

1268696520 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12686965202 = 3219181719720220800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3832755 + ... + 3833085.

It is an arithmetic number, because the mean of its divisors is an integer number (11027214).

Almost surely, 21268696520 is an apocalyptic number.

1268696520 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 1268696520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2646531360).

1268696520 is an abundant number, since it is smaller than the sum of its proper divisors (4024366200).

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

1268696520 is a wasteful number, since it uses less digits than its factorization.

1268696520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1268696520 is about 35618.7664019966. The cubic root of 1268696520 is about 1082.5615124690.

The spelling of 1268696520 in words is "one billion, two hundred sixty-eight million, six hundred ninety-six thousand, five hundred twenty".