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380131360 = 2557973499
BaseRepresentation
bin10110101010000…
…101100000100000
3222111021200012021
4112222011200200
51234303200420
6101415311224
712264030460
oct2652054040
9874250167
10380131360
11185635354
12a737b514
13609a5bcb
14386b1ba0
152358b7aa
hex16a85820

380131360 has 96 divisors (see below), whose sum is σ = 1037232000. Its totient is φ = 128950272.

The previous prime is 380131357. The next prime is 380131361. The reversal of 380131360 is 63131083.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (380131361) 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, 106891 + ... + 110389.

It is an arithmetic number, because the mean of its divisors is an integer number (10804500).

Almost surely, 2380131360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380131360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518616000).

380131360 is an abundant number, since it is smaller than the sum of its proper divisors (657100640).

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

380131360 is a wasteful number, since it uses less digits than its factorization.

380131360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3618 (or 3610 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 380131360 is about 19496.9577113969. The cubic root of 380131360 is about 724.3990962228.

The spelling of 380131360 in words is "three hundred eighty million, one hundred thirty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 97 112 140 160 194 224 280 388 485 560 679 776 970 1120 1358 1552 1940 2716 3104 3395 3499 3880 5432 6790 6998 7760 10864 13580 13996 15520 17495 21728 24493 27160 27992 34990 48986 54320 55984 69980 97972 108640 111968 122465 139960 195944 244930 279920 339403 391888 489860 559840 678806 783776 979720 1357612 1697015 1959440 2375821 2715224 3394030 3918880 4751642 5430448 6788060 9503284 10860896 11879105 13576120 19006568 23758210 27152240 38013136 47516420 54304480 76026272 95032840 190065680 380131360