Search a number
-
+
1380938016 = 253173592357
BaseRepresentation
bin101001001001111…
…0111000100100000
310120020110220211110
41102103313010200
510312010004031
6345010143320
746135531233
oct12223670440
93506426743
101380938016
1164955a197
12326581b40
131901362b3
14d158d41a
158137bc46
hex524f7120

1380938016 has 96 divisors (see below), whose sum is σ = 3850519680. Its totient is φ = 431845376.

The previous prime is 1380937969. The next prime is 1380938023. The reversal of 1380938016 is 6108390831.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 584710 + ... + 587066.

It is an arithmetic number, because the mean of its divisors is an integer number (40109580).

Almost surely, 21380938016 is an apocalyptic number.

1380938016 is a gapful number since it is divisible by the number (16) 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 1380938016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925259840).

1380938016 is an abundant number, since it is smaller than the sum of its proper divisors (2469581664).

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

1380938016 is a wasteful number, since it uses less digits than its factorization.

1380938016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2746 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 1380938016 is about 37160.9743682805. The cubic root of 1380938016 is about 1113.5884773464.

The spelling of 1380938016 in words is "one billion, three hundred eighty million, nine hundred thirty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 359 408 544 718 816 1077 1436 1632 2154 2357 2872 4308 4714 5744 6103 7071 8616 9428 11488 12206 14142 17232 18309 18856 24412 28284 34464 36618 37712 40069 48824 56568 73236 75424 80138 97648 113136 120207 146472 160276 195296 226272 240414 292944 320552 480828 585888 641104 846163 961656 1282208 1692326 1923312 2538489 3384652 3846624 5076978 6769304 10153956 13538608 14384771 20307912 27077216 28769542 40615824 43154313 57539084 81231648 86308626 115078168 172617252 230156336 345234504 460312672 690469008 1380938016