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1372897008 = 243271937057
BaseRepresentation
bin101000111010100…
…1011111011110000
310112200100101122100
41101311023323300
510302430201013
6344121540400
746010301120
oct12165137360
93480311570
101372897008
11644a6792a
12323944700
1318b57c2c2
14d0498c80
15807de473
hex51d4bef0

1372897008 has 120 divisors (see below), whose sum is σ = 4414468448. Its totient is φ = 390168576.

The previous prime is 1372896989. The next prime is 1372897027. The reversal of 1372897008 is 8007982731.

It is an interprime number because it is at equal distance from previous prime (1372896989) and next prime (1372897027).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191016 + ... + 198072.

Almost surely, 21372897008 is an apocalyptic number.

1372897008 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 1372897008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2207234224).

1372897008 is an abundant number, since it is smaller than the sum of its proper divisors (3041571440).

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

1372897008 is a wasteful number, since it uses less digits than its factorization.

1372897008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7271 (or 7262 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 1372897008 is about 37052.6248462913. The cubic root of 1372897008 is about 1111.4228454321.

The spelling of 1372897008 in words is "one billion, three hundred seventy-two million, eight hundred ninety-seven thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 193 252 336 386 504 579 772 1008 1158 1351 1544 1737 2316 2702 3088 3474 4053 4632 5404 6948 7057 8106 9264 10808 12159 13896 14114 16212 21171 21616 24318 27792 28228 32424 42342 48636 49399 56456 63513 64848 84684 97272 98798 112912 127026 148197 169368 194544 197596 254052 296394 338736 395192 444591 508104 592788 790384 889182 1016208 1185576 1362001 1778364 2371152 2724002 3556728 4086003 5448004 7113456 8172006 9534007 10896008 12258009 16344012 19068014 21792016 24516018 28602021 32688024 38136028 49032036 57204042 65376048 76272056 85806063 98064072 114408084 152544112 171612126 196128144 228816168 343224252 457632336 686448504 1372897008