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1072980384 = 25371596697
BaseRepresentation
bin111111111101000…
…110000110100000
32202210000001101020
4333331012012200
54144140333014
6254245405440
735406116460
oct7775060640
92683001336
101072980384
11500740053
1225b409880
131413b0448
14a2707ba0
15642ea1a9
hex3ff461a0

1072980384 has 48 divisors (see below), whose sum is σ = 3218943168. Its totient is φ = 306565632.

The previous prime is 1072980323. The next prime is 1072980473. The reversal of 1072980384 is 4830892701.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 797677 + ... + 799020.

It is an arithmetic number, because the mean of its divisors is an integer number (67061316).

Almost surely, 21072980384 is an apocalyptic number.

1072980384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1072980384 is an abundant number, since it is smaller than the sum of its proper divisors (2145962784).

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

1072980384 is a wasteful number, since it uses less digits than its factorization.

1072980384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596717 (or 1596709 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 1072980384 is about 32756.3792870946. The cubic root of 1072980384 is about 1023.7578875028.

The spelling of 1072980384 in words is "one billion, seventy-two million, nine hundred eighty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1596697 3193394 4790091 6386788 9580182 11176879 12773576 19160364 22353758 25547152 33530637 38320728 44707516 51094304 67061274 76641456 89415032 134122548 153282912 178830064 268245096 357660128 536490192 1072980384