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138494340 = 22335256471
BaseRepresentation
bin10000100000101…
…00000110000100
3100122121020112000
420100110012010
5240423304330
621424225300
73301116405
oct1020240604
9318536460
10138494340
11711a3936
123a46b230
1322900c1a
14145719ac
15c25a560
hex8414184

138494340 has 48 divisors (see below), whose sum is σ = 430872960. Its totient is φ = 36931680.

The previous prime is 138494333. The next prime is 138494371. The reversal of 138494340 is 43494831.

138494340 is a `hidden beast` number, since 138 + 494 + 34 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 138494295 and 138494304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127696 + ... + 128775.

It is an arithmetic number, because the mean of its divisors is an integer number (8976520).

Almost surely, 2138494340 is an apocalyptic number.

138494340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138494340 is an abundant number, since it is smaller than the sum of its proper divisors (292378620).

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

138494340 is a wasteful number, since it uses less digits than its factorization.

138494340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256489 (or 256481 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 138494340 is about 11768.3618231256. The cubic root of 138494340 is about 517.3812371871.

The spelling of 138494340 in words is "one hundred thirty-eight million, four hundred ninety-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 256471 512942 769413 1025884 1282355 1538826 2308239 2564710 3077652 3847065 4616478 5129420 6924717 7694130 9232956 11541195 13849434 15388260 23082390 27698868 34623585 46164780 69247170 138494340