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139263264 = 25327371867
BaseRepresentation
bin10000100110011…
…11110100100000
3100201001022021200
420103033310200
5241122411024
621452521200
73310501230
oct1023176440
9321038250
10139263264
1171679608
123a780200
1322b0cbca
14146d1cc0
15c35d2c9
hex84cfd20

139263264 has 144 divisors (see below), whose sum is σ = 465087168. Its totient is φ = 38693376.

The previous prime is 139263263. The next prime is 139263281. The reversal of 139263264 is 462362931.

139263264 is a `hidden beast` number, since 1 + 392 + 6 + 3 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (139263263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73659 + ... + 75525.

It is an arithmetic number, because the mean of its divisors is an integer number (3229772).

Almost surely, 2139263264 is an apocalyptic number.

139263264 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 139263264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232543584).

139263264 is an abundant number, since it is smaller than the sum of its proper divisors (325823904).

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

139263264 is a wasteful number, since it uses less digits than its factorization.

139263264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1927 (or 1916 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 139263264 is about 11800.9857215404. The cubic root of 139263264 is about 518.3369750769.

The spelling of 139263264 in words is "one hundred thirty-nine million, two hundred sixty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 37 42 48 56 63 72 74 84 96 111 112 126 144 148 168 222 224 252 259 288 296 333 336 444 504 518 592 666 672 777 888 1008 1036 1184 1332 1554 1776 1867 2016 2072 2331 2664 3108 3552 3734 4144 4662 5328 5601 6216 7468 8288 9324 10656 11202 12432 13069 14936 16803 18648 22404 24864 26138 29872 33606 37296 39207 44808 52276 59744 67212 69079 74592 78414 89616 104552 117621 134424 138158 156828 179232 207237 209104 235242 268848 276316 313656 414474 418208 470484 483553 537696 552632 621711 627312 828948 940968 967106 1105264 1243422 1254624 1450659 1657896 1881936 1934212 2210528 2486844 2901318 3315792 3763872 3868424 4351977 4973688 5802636 6631584 7736848 8703954 9947376 11605272 15473696 17407908 19894752 23210544 34815816 46421088 69631632 139263264