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1137067680 = 25357338413
BaseRepresentation
bin100001111000110…
…0100011010100000
32221020121000121210
41003301210122200
54312042131210
6304455150120
740114626060
oct10361443240
92836530553
101137067680
11533932861
12278975340
1315175b918
14ab02b3a0
1569c58e20
hex43c646a0

1137067680 has 96 divisors (see below), whose sum is σ = 4093455744. Its totient is φ = 259900416.

The previous prime is 1137067667. The next prime is 1137067691. The reversal of 1137067680 is 867607311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165847 + ... + 172566.

It is an arithmetic number, because the mean of its divisors is an integer number (42640164).

Almost surely, 21137067680 is an apocalyptic number.

1137067680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1137067680 is an abundant number, since it is smaller than the sum of its proper divisors (2956388064).

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

1137067680 is a wasteful number, since it uses less digits than its factorization.

1137067680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338438 (or 338430 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 1137067680 is about 33720.4341609061. The cubic root of 1137067680 is about 1043.7474763944.

The spelling of 1137067680 in words is "one billion, one hundred thirty-seven million, sixty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 338413 676826 1015239 1353652 1692065 2030478 2368891 2707304 3384130 4060956 4737782 5076195 5414608 6768260 7106673 8121912 9475564 10152390 10829216 11844455 13536520 14213346 16243824 18951128 20304780 23688910 27073040 28426692 32487648 35533365 37902256 40609560 47377820 54146080 56853384 71066730 75804512 81219120 94755640 113706768 142133460 162438240 189511280 227413536 284266920 379022560 568533840 1137067680