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1076472960 = 27354779151
BaseRepresentation
bin100000000101001…
…1010110010000000
32210000120111021220
41000022122302000
54201034113320
6254452315040
735450604063
oct10012326200
92700514256
101076472960
11502706082
12260612a80
13142034064
14a2d768da
1564789e40
hex4029ac80

1076472960 has 256 divisors, whose sum is σ = 3572121600. Its totient is φ = 275558400.

The previous prime is 1076472919. The next prime is 1076472967. The reversal of 1076472960 is 692746701.

It is a super-2 number, since 2×10764729602 = 2317588067222323200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1076472967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7128885 + ... + 7129035.

It is an arithmetic number, because the mean of its divisors is an integer number (13953600).

Almost surely, 21076472960 is an apocalyptic number.

1076472960 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 1076472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786060800).

1076472960 is an abundant number, since it is smaller than the sum of its proper divisors (2495648640).

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

1076472960 is a wasteful number, since it uses less digits than its factorization.

1076472960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 1076472960 is about 32809.6473617136. The cubic root of 1076472960 is about 1024.8674696783.

The spelling of 1076472960 in words is "one billion, seventy-six million, four hundred seventy-two thousand, nine hundred sixty".