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139318032 = 243719139157
BaseRepresentation
bin10000100110111…
…01001100010000
3100201011002102010
420103131030100
5241131134112
621454022520
73311120010
oct1023351420
9321132363
10139318032
1171706777
123a7a7a40
1322b2bb09
1414707c40
15c36e63c
hex84dd310

139318032 has 160 divisors (see below), whose sum is σ = 438860800. Its totient is φ = 37200384.

The previous prime is 139318031. The next prime is 139318097. The reversal of 139318032 is 230813931.

139318032 is nontrivially palindromic in base 15.

It is not an unprimeable number, because it can be changed into a prime (139318031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 887298 + ... + 887454.

It is an arithmetic number, because the mean of its divisors is an integer number (2742880).

Almost surely, 2139318032 is an apocalyptic number.

139318032 is a gapful number since it is divisible by the number (12) 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 139318032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219430400).

139318032 is an abundant number, since it is smaller than the sum of its proper divisors (299542768).

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

139318032 is a wasteful number, since it uses less digits than its factorization.

139318032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 139318032 is about 11803.3059775641. The cubic root of 139318032 is about 518.4049148863.

The spelling of 139318032 in words is "one hundred thirty-nine million, three hundred eighteen thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 139 152 157 168 228 266 278 304 314 336 399 417 456 471 532 556 628 798 834 912 942 973 1064 1099 1112 1256 1596 1668 1884 1946 2128 2198 2224 2512 2641 2919 2983 3192 3297 3336 3768 3892 4396 5282 5838 5966 6384 6594 6672 7536 7784 7923 8792 8949 10564 11676 11932 13188 15568 15846 17584 17898 18487 20881 21128 21823 23352 23864 26376 31692 35796 36974 41762 42256 43646 46704 47728 52752 55461 62643 63384 65469 71592 73948 83524 87292 110922 125286 126768 130938 143184 147896 152761 167048 174584 221844 250572 261876 295792 305522 334096 349168 414637 443688 458283 501144 523752 611044 829274 887376 916566 1002288 1047504 1222088 1243911 1658548 1833132 2444176 2487822 2902459 3317096 3666264 4975644 5804918 6634192 7332528 8707377 9951288 11609836 17414754 19902576 23219672 34829508 46439344 69659016 139318032