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138019992 = 233114311213
BaseRepresentation
bin10000011101000…
…00010010011000
3100121201010211120
420032200102120
5240313114432
621410125240
73264102435
oct1016402230
9317633746
10138019992
11709aa510
123a280820
1322796046
141448ab8c
15c1b4c2c
hex83a0498

138019992 has 64 divisors (see below), whose sum is σ = 377602560. Its totient is φ = 41692800.

The previous prime is 138019969. The next prime is 138019993. The reversal of 138019992 is 299910831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138019993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113178 + ... + 114390.

It is an arithmetic number, because the mean of its divisors is an integer number (5900040).

Almost surely, 2138019992 is an apocalyptic number.

138019992 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 138019992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188801280).

138019992 is an abundant number, since it is smaller than the sum of its proper divisors (239582568).

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

138019992 is a wasteful number, since it uses less digits than its factorization.

138019992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 42.

The square root of 138019992 is about 11748.1910096832. The cubic root of 138019992 is about 516.7898785348.

It can be divided in two parts, 1380199 and 92, that added together give a triangular number (1380291 = T1661).

The spelling of 138019992 in words is "one hundred thirty-eight million, nineteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 431 862 1213 1293 1724 2426 2586 3448 3639 4741 4852 5172 7278 9482 9704 10344 13343 14223 14556 18964 26686 28446 29112 37928 40029 53372 56892 80058 106744 113784 160116 320232 522803 1045606 1568409 2091212 3136818 4182424 5750833 6273636 11501666 12547272 17252499 23003332 34504998 46006664 69009996 138019992