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1076560380 = 22325744753
BaseRepresentation
bin100000000101011…
…0000000111111100
32210000201221012200
41000022300013330
54201044413010
6254454231500
735451420000
oct10012600774
92700657180
101076560380
11502765825
12260655590
13142064a9c
14a2d9a700
15647a5cc0
hex402b01fc

1076560380 has 360 divisors, whose sum is σ = 3964064832. Its totient is φ = 236291328.

The previous prime is 1076560363. The next prime is 1076560403. The reversal of 1076560380 is 830656701.

1076560380 is a `hidden beast` number, since 10 + 7 + 6 + 560 + 3 + 80 = 666.

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 119 ways as a sum of consecutive naturals, for example, 20312434 + ... + 20312486.

Almost surely, 21076560380 is an apocalyptic number.

1076560380 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 1076560380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982032416).

1076560380 is an abundant number, since it is smaller than the sum of its proper divisors (2887504452).

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

1076560380 is a wasteful number, since it uses less digits than its factorization.

1076560380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1076560380 is about 32810.9795647737. The cubic root of 1076560380 is about 1024.8952119726.

The spelling of 1076560380 in words is "one billion, seventy-six million, five hundred sixty thousand, three hundred eighty".