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1372670320 = 24572536607
BaseRepresentation
bin101000111010001…
…0100100101110000
310112122220212200111
41101310110211300
510302400422240
6344113031104
746005335200
oct12164244560
93478825614
101372670320
1164492258a
12323855494
1318b500078
14d043a400
15807971ea
hex51d14970

1372670320 has 120 divisors (see below), whose sum is σ = 3783132864. Its totient is φ = 461680128.

The previous prime is 1372670309. The next prime is 1372670329. The reversal of 1372670320 is 230762731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1372670329) by changing a digit.

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, 204457 + ... + 211063.

Almost surely, 21372670320 is an apocalyptic number.

1372670320 is a gapful number since it is divisible by the number (10) 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 1372670320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1891566432).

1372670320 is an abundant number, since it is smaller than the sum of its proper divisors (2410462544).

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

1372670320 is a wasteful number, since it uses less digits than its factorization.

1372670320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6687 (or 6674 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 31.

The square root of 1372670320 is about 37049.5657194521. The cubic root of 1372670320 is about 1111.3616706344.

The spelling of 1372670320 in words is "one billion, three hundred seventy-two million, six hundred seventy thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 53 56 70 80 98 106 112 140 196 212 245 265 280 371 392 424 490 530 560 742 784 848 980 1060 1484 1855 1960 2120 2597 2968 3710 3920 4240 5194 5936 6607 7420 10388 12985 13214 14840 20776 25970 26428 29680 33035 41552 46249 51940 52856 66070 92498 103880 105712 132140 184996 207760 231245 264280 323743 350171 369992 462490 528560 647486 700342 739984 924980 1294972 1400684 1618715 1750855 1849960 2451197 2589944 2801368 3237430 3501710 3699920 4902394 5179888 5602736 6474860 7003420 9804788 12255985 12949720 14006840 17158379 19609576 24511970 25899440 28013680 34316758 39219152 49023940 68633516 85791895 98047880 137267032 171583790 196095760 274534064 343167580 686335160 1372670320