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1375364540 = 2251125124907
BaseRepresentation
bin101000111111010…
…0110010110111100
310112211222202110102
41101332212112330
510304043131130
6344250500232
746040256104
oct12176462674
93484882412
101375364540
116463a2810
12324734678
1318bc34494
14d093c204
1580b2a645
hex51fa65bc

1375364540 has 48 divisors (see below), whose sum is σ = 3163515264. Its totient is φ = 498120000.

The previous prime is 1375364537. The next prime is 1375364591. The reversal of 1375364540 is 454635731.

It is a junction number, because it is equal to n+sod(n) for n = 1375364494 and 1375364503.

It is a congruent number.

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, 42767 + ... + 67673.

It is an arithmetic number, because the mean of its divisors is an integer number (65906568).

Almost surely, 21375364540 is an apocalyptic number.

1375364540 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 1375364540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581757632).

1375364540 is an abundant number, since it is smaller than the sum of its proper divisors (1788150724).

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

1375364540 is a wasteful number, since it uses less digits than its factorization.

1375364540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25178 (or 25176 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 38.

The square root of 1375364540 is about 37085.9075660823. The cubic root of 1375364540 is about 1112.0883068684.

The spelling of 1375364540 in words is "one billion, three hundred seventy-five million, three hundred sixty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 251 502 1004 1255 2510 2761 5020 5522 11044 13805 24907 27610 49814 55220 99628 124535 249070 273977 498140 547954 1095908 1369885 2739770 5479540 6251657 12503314 25006628 31258285 62516570 68768227 125033140 137536454 275072908 343841135 687682270 1375364540