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1076133680 = 24517975149
BaseRepresentation
bin100000000100100…
…0111111100110000
32202222221020212222
41000021013330300
54200442234210
6254441140212
735444661656
oct10011077460
92688836788
101076133680
115024a4186
1226048a668
13141c457bb
14a2cc8dd6
156471e655
hex40247f30

1076133680 has 40 divisors (see below), whose sum is σ = 2516022000. Its totient is φ = 428043008.

The previous prime is 1076133673. The next prime is 1076133701. The reversal of 1076133680 is 863316701.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 1076133680.

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, 23255 + ... + 51894.

It is an arithmetic number, because the mean of its divisors is an integer number (62900550).

Almost surely, 21076133680 is an apocalyptic number.

1076133680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1076133680 is an abundant number, since it is smaller than the sum of its proper divisors (1439888320).

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

1076133680 is a wasteful number, since it uses less digits than its factorization.

1076133680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75341 (or 75335 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 1076133680 is about 32804.4765237917. The cubic root of 1076133680 is about 1024.7597866600.

The spelling of 1076133680 in words is "one billion, seventy-six million, one hundred thirty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 179 358 716 895 1432 1790 2864 3580 7160 14320 75149 150298 300596 375745 601192 751490 1202384 1502980 3005960 6011920 13451671 26903342 53806684 67258355 107613368 134516710 215226736 269033420 538066840 1076133680