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1076480736 = 25317364817
BaseRepresentation
bin100000000101001…
…1100101011100000
32210000120212221220
41000022130223200
54201034340421
6254452415040
735450635542
oct10012345340
92700525856
101076480736
11502710a01
12260617480
13142037766
14a2d79692
156478c3c6
hex4029cae0

1076480736 has 48 divisors (see below), whose sum is σ = 2842139664. Its totient is φ = 356747264.

The previous prime is 1076480731. The next prime is 1076480767. The reversal of 1076480736 is 6370846701.

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

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1076480731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15801 + ... + 49016.

It is an arithmetic number, because the mean of its divisors is an integer number (59211243).

Almost surely, 21076480736 is an apocalyptic number.

1076480736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1076480736 is an abundant number, since it is smaller than the sum of its proper divisors (1765658928).

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

1076480736 is a wasteful number, since it uses less digits than its factorization.

1076480736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65003 (or 64995 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 1076480736 is about 32809.7658632304. The cubic root of 1076480736 is about 1024.8699374133.

The spelling of 1076480736 in words is "one billion, seventy-six million, four hundred eighty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 173 346 519 692 1038 1384 2076 2768 4152 5536 8304 16608 64817 129634 194451 259268 388902 518536 777804 1037072 1555608 2074144 3111216 6222432 11213341 22426682 33640023 44853364 67280046 89706728 134560092 179413456 269120184 358826912 538240368 1076480736