Search a number
-
+
139713408 = 2732235273
BaseRepresentation
bin10000101001111…
…01101110000000
3100201220011202200
420110331232000
5241231312113
621510313200
73314354502
oct1024755600
9321804680
10139713408
117195682a
123a958800
1322c39a73
14147abd72
15c3eb873
hex853db80

139713408 has 96 divisors (see below), whose sum is σ = 419599440. Its totient is φ = 44537856.

The previous prime is 139713397. The next prime is 139713419. The reversal of 139713408 is 804317931.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (139713397) and next prime (139713419).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23860 + ... + 29132.

Almost surely, 2139713408 is an apocalyptic number.

139713408 is a gapful number since it is divisible by the number (18) 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 139713408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209799720).

139713408 is an abundant number, since it is smaller than the sum of its proper divisors (279886032).

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

139713408 is a wasteful number, since it uses less digits than its factorization.

139713408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5316 (or 5301 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 139713408 is about 11820.0426395170. The cubic root of 139713408 is about 518.8948521214.

The spelling of 139713408 in words is "one hundred thirty-nine million, seven hundred thirteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 276 288 368 384 414 552 576 736 828 1104 1152 1472 1656 2208 2944 3312 4416 5273 6624 8832 10546 13248 15819 21092 26496 31638 42184 47457 63276 84368 94914 121279 126552 168736 189828 242558 253104 337472 363837 379656 485116 506208 674944 727674 759312 970232 1012416 1091511 1455348 1518624 1940464 2024832 2183022 2910696 3037248 3880928 4366044 5821392 6074496 7761856 8732088 11642784 15523712 17464176 23285568 34928352 46571136 69856704 139713408