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1067068080 = 243451353239
BaseRepresentation
bin111111100110100…
…010101010110000
32202100212200020000
4333212202222300
54141132134310
6253514550000
735304633441
oct7746425260
92670780200
101067068080
114a8372051
12259438300
131400c0340
14a1a092c8
1563a2d4c0
hex3f9a2ab0

1067068080 has 400 divisors, whose sum is σ = 4083488640. Its totient is φ = 256628736.

The previous prime is 1067068073. The next prime is 1067068099. The reversal of 1067068080 is 808607601.

It is a super-2 number, since 2×10670680802 = 2277268574709772800, 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 79 ways as a sum of consecutive naturals, for example, 4464601 + ... + 4464839.

Almost surely, 21067068080 is an apocalyptic number.

1067068080 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 1067068080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041744320).

1067068080 is an abundant number, since it is smaller than the sum of its proper divisors (3016420560).

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

1067068080 is a wasteful number, since it uses less digits than its factorization.

1067068080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1067068080 is about 32666.0080205709. The cubic root of 1067068080 is about 1021.8740632935.

The spelling of 1067068080 in words is "one billion, sixty-seven million, sixty-eight thousand, eighty".