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1381957380 = 2232527412801
BaseRepresentation
bin101001001011110…
…1111111100000100
310120022101201010200
41102113233330010
510312240114010
6345044050500
746150305156
oct12227577404
93508351120
101381957380
1164a096041
12326993a30
1319040227b
14d1776ad6
15814cdcc0
hex525eff04

1381957380 has 72 divisors (see below), whose sum is σ = 4194963864. Its totient is φ = 368256000.

The previous prime is 1381957373. The next prime is 1381957399. The reversal of 1381957380 is 837591831.

It can be written as a sum of positive squares in 4 ways, for example, as 66879684 + 1315077696 = 8178^2 + 36264^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 491980 + ... + 494780.

It is an arithmetic number, because the mean of its divisors is an integer number (58263387).

Almost surely, 21381957380 is an apocalyptic number.

1381957380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1381957380 is an abundant number, since it is smaller than the sum of its proper divisors (2813006484).

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

1381957380 is a wasteful number, since it uses less digits than its factorization.

1381957380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5557 (or 5552 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 1381957380 is about 37174.6873557801. The cubic root of 1381957380 is about 1113.8624150118.

The spelling of 1381957380 in words is "one billion, three hundred eighty-one million, nine hundred fifty-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2741 2801 5482 5602 8223 8403 10964 11204 13705 14005 16446 16806 24669 25209 27410 28010 32892 33612 41115 42015 49338 50418 54820 56020 82230 84030 98676 100836 123345 126045 164460 168060 246690 252090 493380 504180 7677541 15355082 23032623 30710164 38387705 46065246 69097869 76775410 92130492 115163115 138195738 153550820 230326230 276391476 345489345 460652460 690978690 1381957380