Search a number
-
+
139616928 = 25321144071
BaseRepresentation
bin10000101001001…
…10001010100000
3100201201021102100
420110212022200
5241220220203
621504250400
73313503303
oct1024461240
9321637370
10139616928
11718a02a0
123a910a00
1322c04b89
1414784b3a
15c3ccea3
hex85262a0

139616928 has 72 divisors (see below), whose sum is σ = 433139616. Its totient is φ = 42307200.

The previous prime is 139616927. The next prime is 139616929. The reversal of 139616928 is 829616931.

It is a happy number.

139616928 is a `hidden beast` number, since 1 + 3 + 9 + 616 + 9 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (139616927) and next prime (139616929).

It is a tau number, because it is divible by the number of its divisors (72).

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 (139616927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18868 + ... + 25203.

It is an arithmetic number, because the mean of its divisors is an integer number (6015828).

Almost surely, 2139616928 is an apocalyptic number.

139616928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

139616928 is an abundant number, since it is smaller than the sum of its proper divisors (293522688).

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

139616928 is a wasteful number, since it uses less digits than its factorization.

139616928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44098 (or 44087 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 139616928 is about 11815.9607311467. The cubic root of 139616928 is about 518.7753825486.

The spelling of 139616928 in words is "one hundred thirty-nine million, six hundred sixteen thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 44071 88142 132213 176284 264426 352568 396639 484781 528852 705136 793278 969562 1057704 1410272 1454343 1586556 1939124 2115408 2908686 3173112 3878248 4230816 4363029 5817372 6346224 7756496 8726058 11634744 12692448 15512992 17452116 23269488 34904232 46538976 69808464 139616928