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1068513264 = 2432713731117
BaseRepresentation
bin111111101100000…
…011011111110000
32202110121002122100
4333230003133300
54142014411024
6254005540400
735323133010
oct7754033760
92673532570
101068513264
114a9169915
12259a14700
131404a8090
14a1ca3c40
1563c167c9
hex3fb037f0

1068513264 has 240 divisors, whose sum is σ = 3734191552. Its totient is φ = 277696512.

The previous prime is 1068513247. The next prime is 1068513287. The reversal of 1068513264 is 4623158601.

It is a happy number.

It is a super-2 number, since 2×10685132642 = 2283441190687867392, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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, 956034 + ... + 957150.

Almost surely, 21068513264 is an apocalyptic number.

1068513264 is a gapful number since it is divisible by the number (14) 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 1068513264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867095776).

1068513264 is an abundant number, since it is smaller than the sum of its proper divisors (2665678288).

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

1068513264 is a wasteful number, since it uses less digits than its factorization.

1068513264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1068513264 is about 32688.1211451500. The cubic root of 1068513264 is about 1022.3351803410.

The spelling of 1068513264 in words is "one billion, sixty-eight million, five hundred thirteen thousand, two hundred sixty-four".