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1040460672 = 27319142607
BaseRepresentation
bin111110000001000…
…010101110000000
32200111210212201110
4332001002232000
54112324220142
6251124403320
734532525016
oct7601025600
92614725643
101040460672
11494349559
12250546540
13137735604
149c2808b6
156152499c
hex3e042b80

1040460672 has 64 divisors (see below), whose sum is σ = 2909203200. Its totient is φ = 328564224.

The previous prime is 1040460661. The next prime is 1040460677. The reversal of 1040460672 is 2760640401.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040460677) 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, 64008 + ... + 78599.

It is an arithmetic number, because the mean of its divisors is an integer number (45456300).

Almost surely, 21040460672 is an apocalyptic number.

1040460672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1040460672 is an abundant number, since it is smaller than the sum of its proper divisors (1868742528).

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

1040460672 is a wasteful number, since it uses less digits than its factorization.

1040460672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142643 (or 142631 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 1040460672 is about 32256.1726185857. The cubic root of 1040460672 is about 1013.3089760227.

The spelling of 1040460672 in words is "one billion, forty million, four hundred sixty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 142607 285214 427821 570428 855642 1140856 1711284 2281712 2709533 3422568 4563424 5419066 6845136 8128599 9126848 10838132 13690272 16257198 18253696 21676264 27380544 32514396 43352528 54761088 65028792 86705056 130057584 173410112 260115168 346820224 520230336 1040460672