[go: up one dir, main page]

Search a number
-
+
139978384 = 24713127757
BaseRepresentation
bin10000101011111…
…10011010010000
3100202101122020121
420111332122100
5241313302014
621520120024
73316540150
oct1025763220
9322348217
10139978384
1172017917
123aa66014
1323000560
141483a760
15c450124
hex857e690

139978384 has 80 divisors (see below), whose sum is σ = 336867328. Its totient is φ = 54867456.

The previous prime is 139978337. The next prime is 139978409. The reversal of 139978384 is 483879931.

139978384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (52).

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, 184534 + ... + 185290.

Almost surely, 2139978384 is an apocalyptic number.

139978384 is a gapful number since it is divisible by the number (14) 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 139978384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168433664).

139978384 is an abundant number, since it is smaller than the sum of its proper divisors (196888944).

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

139978384 is a wasteful number, since it uses less digits than its factorization.

139978384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 906 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 52.

The square root of 139978384 is about 11831.2460882191. The cubic root of 139978384 is about 519.2226847733. Note that the first 3 decimals are identical.

The spelling of 139978384 in words is "one hundred thirty-nine million, nine hundred seventy-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 127 182 208 254 364 508 728 757 889 1016 1456 1514 1651 1778 2032 3028 3302 3556 5299 6056 6604 7112 9841 10598 11557 12112 13208 14224 19682 21196 23114 26416 39364 42392 46228 68887 78728 84784 92456 96139 137774 157456 184912 192278 275548 384556 551096 672973 769112 1102192 1249807 1345946 1538224 2499614 2691892 4999228 5383784 8748649 9998456 10767568 17497298 19996912 34994596 69989192 139978384