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138194760 = 233511104693
BaseRepresentation
bin10000011110010…
…10111101001000
3100122001000120110
420033022331020
5240334213020
621413554320
73265431114
oct1017127510
9318030513
10138194760
1171009850
123a3459a0
1322827762
14144d4744
15c1eb8e0
hex83caf48

138194760 has 64 divisors (see below), whose sum is σ = 452278080. Its totient is φ = 33501440.

The previous prime is 138194753. The next prime is 138194761. The reversal of 138194760 is 67491831.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (138194761) 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, 51027 + ... + 53666.

It is an arithmetic number, because the mean of its divisors is an integer number (7066845).

Almost surely, 2138194760 is an apocalyptic number.

138194760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138194760 is an abundant number, since it is smaller than the sum of its proper divisors (314083320).

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

138194760 is a wasteful number, since it uses less digits than its factorization.

138194760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104718 (or 104714 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 138194760 is about 11755.6267378647. The cubic root of 138194760 is about 517.0079151565.

It can be divided in two parts, 1381 and 94760, that added together give a triangular number (96141 = T438).

The spelling of 138194760 in words is "one hundred thirty-eight million, one hundred ninety-four thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 104693 209386 314079 418772 523465 628158 837544 1046930 1151623 1256316 1570395 2093860 2303246 2512632 3140790 3454869 4187720 4606492 5758115 6281580 6909738 9212984 11516230 12563160 13819476 17274345 23032460 27638952 34548690 46064920 69097380 138194760