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139433320 = 235131715773
BaseRepresentation
bin10000100111110…
…01010101101000
3100201100221120001
420103321111220
5241143331240
621500312344
73312110065
oct1023712550
9321327501
10139433320
1171785354
123a8426b4
1322b6c430
1414737c6c
15c39389a
hex84f9568

139433320 has 64 divisors (see below), whose sum is σ = 357754320. Its totient is φ = 48451584.

The previous prime is 139433309. The next prime is 139433321. The reversal of 139433320 is 23334931.

It can be written as a sum of positive squares in 8 ways, for example, as 59259204 + 80174116 = 7698^2 + 8954^2 .

It is not an unprimeable number, because it can be changed into a prime (139433321) by changing a digit.

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, 954 + ... + 16726.

Almost surely, 2139433320 is an apocalyptic number.

139433320 is a gapful number since it is divisible by the number (10) 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 139433320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178877160).

139433320 is an abundant number, since it is smaller than the sum of its proper divisors (218321000).

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

139433320 is a wasteful number, since it uses less digits than its factorization.

139433320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15814 (or 15810 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

The square root of 139433320 is about 11808.1886841293. The cubic root of 139433320 is about 518.5478717044.

The spelling of 139433320 in words is "one hundred thirty-nine million, four hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 442 520 680 884 1105 1768 2210 4420 8840 15773 31546 63092 78865 126184 157730 205049 268141 315460 410098 536282 630920 820196 1025245 1072564 1340705 1640392 2050490 2145128 2681410 3485833 4100980 5362820 6971666 8201960 10725640 13943332 17429165 27886664 34858330 69716660 139433320