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138968232 = 233132915359
BaseRepresentation
bin10000100100001…
…11110010101000
3100200111022120120
420102013302220
5241033440412
621442323240
73305132124
oct1022076250
9320438516
10138968232
1171497987
123a659520
1322a38830
1414656584
15c300b8c
hex8487ca8

138968232 has 64 divisors (see below), whose sum is σ = 387072000. Its totient is φ = 41282304.

The previous prime is 138968227. The next prime is 138968233. The reversal of 138968232 is 232869831.

It is not an unprimeable number, because it can be changed into a prime (138968233) 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 15 ways as a sum of consecutive naturals, for example, 1369 + ... + 16727.

It is an arithmetic number, because the mean of its divisors is an integer number (6048000).

Almost surely, 2138968232 is an apocalyptic number.

138968232 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 138968232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193536000).

138968232 is an abundant number, since it is smaller than the sum of its proper divisors (248103768).

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

138968232 is a wasteful number, since it uses less digits than its factorization.

138968232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15410 (or 15406 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 138968232 is about 11788.4787822687. The cubic root of 138968232 is about 517.9706805506.

The spelling of 138968232 in words is "one hundred thirty-eight million, nine hundred sixty-eight thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 116 156 174 232 312 348 377 696 754 1131 1508 2262 3016 4524 9048 15359 30718 46077 61436 92154 122872 184308 199667 368616 399334 445411 599001 798668 890822 1198002 1336233 1597336 1781644 2396004 2672466 3563288 4792008 5344932 5790343 10689864 11580686 17371029 23161372 34742058 46322744 69484116 138968232