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1372393008 = 243276072243
BaseRepresentation
bin101000111001101…
…0000111000110000
310112122101210021200
41101303100320300
510302313034013
6344103051200
746003101540
oct12163207060
93478353250
101372393008
116447531a8
12323740b00
1318b433a8c
14d03a7320
158073ee73
hex51cd0e30

1372393008 has 120 divisors (see below), whose sum is σ = 4398670848. Its totient is φ = 391291776.

The previous prime is 1372392943. The next prime is 1372393039. The reversal of 1372393008 is 8003932731.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 610735 + ... + 612977.

Almost surely, 21372393008 is an apocalyptic number.

1372393008 is a gapful number since it is divisible by the number (18) 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 1372393008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199335424).

1372393008 is an abundant number, since it is smaller than the sum of its proper divisors (3026277840).

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

1372393008 is a wasteful number, since it uses less digits than its factorization.

1372393008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2871 (or 2862 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 1372393008 is about 37045.8230843910. The cubic root of 1372393008 is about 1111.2868251114.

The spelling of 1372393008 in words is "one billion, three hundred seventy-two million, three hundred ninety-three thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 607 1008 1214 1821 2243 2428 3642 4249 4486 4856 5463 6729 7284 8498 8972 9712 10926 12747 13458 14568 15701 16996 17944 20187 21852 25494 26916 29136 31402 33992 35888 38241 40374 43704 47103 50988 53832 62804 67984 76482 80748 87408 94206 101976 107664 125608 141309 152964 161496 188412 203952 251216 282618 305928 322992 376824 565236 611856 753648 1130472 1361501 2260944 2723002 4084503 5446004 8169006 9530507 10892008 12253509 16338012 19061014 21784016 24507018 28591521 32676024 38122028 49014036 57183042 65352048 76244056 85774563 98028072 114366084 152488112 171549126 196056144 228732168 343098252 457464336 686196504 1372393008