Search a number
-
+
1379385920 = 265113112641
BaseRepresentation
bin101001000110111…
…1100001001000000
310120010120001202102
41102031330021000
510311110322140
6344513005532
746116405203
oct12215741100
93503501672
101379385920
1164869a070
12325b538a8
1318ca119b3
14d12a793a
1581171e15
hex5237c240

1379385920 has 112 divisors (see below), whose sum is σ = 3699150336. Its totient is φ = 485376000.

The previous prime is 1379385907. The next prime is 1379385929. The reversal of 1379385920 is 295839731.

It is not an unprimeable number, because it can be changed into a prime (1379385929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102800 + ... + 115440.

It is an arithmetic number, because the mean of its divisors is an integer number (33028128).

Almost surely, 21379385920 is an apocalyptic number.

1379385920 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 1379385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849575168).

1379385920 is an abundant number, since it is smaller than the sum of its proper divisors (2319764416).

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

1379385920 is a wasteful number, since it uses less digits than its factorization.

1379385920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12700 (or 12690 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 47.

The square root of 1379385920 is about 37140.0850833705. The cubic root of 1379385920 is about 1113.1711175167.

The spelling of 1379385920 in words is "one billion, three hundred seventy-nine million, three hundred eighty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 64 80 88 110 124 155 160 176 220 248 310 320 341 352 440 496 620 682 704 880 992 1240 1364 1705 1760 1984 2480 2728 3410 3520 4960 5456 6820 9920 10912 12641 13640 21824 25282 27280 50564 54560 63205 101128 109120 126410 139051 202256 252820 278102 391871 404512 505640 556204 695255 783742 809024 1011280 1112408 1390510 1567484 1959355 2022560 2224816 2781020 3134968 3918710 4045120 4310581 4449632 5562040 6269936 7837420 8621162 8899264 11124080 12539872 15674840 17242324 21552905 22248160 25079744 31349680 34484648 43105810 44496320 62699360 68969296 86211620 125398720 137938592 172423240 275877184 344846480 689692960 1379385920