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138182040 = 23325383839
BaseRepresentation
bin10000011110001…
…11110110011000
3100122000101010100
420033013312120
5240333311130
621413415400
73265346043
oct1017076630
9318011110
10138182040
1171000237
123a33a560
1322821a29
14144cdc5a
15c1e7c60
hex83c7d98

138182040 has 48 divisors (see below), whose sum is σ = 449092800. Its totient is φ = 36848448.

The previous prime is 138182027. The next prime is 138182053. The reversal of 138182040 is 40281831.

138182040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (138182027) and next prime (138182053).

It is a junction number, because it is equal to n+sod(n) for n = 138181995 and 138182013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 191560 + ... + 192279.

It is an arithmetic number, because the mean of its divisors is an integer number (9356100).

Almost surely, 2138182040 is an apocalyptic number.

138182040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138182040 is an abundant number, since it is smaller than the sum of its proper divisors (310910760).

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

138182040 is a wasteful number, since it uses less digits than its factorization.

138182040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383856 (or 383849 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 138182040 is about 11755.0857078968. The cubic root of 138182040 is about 516.9920521758.

The spelling of 138182040 in words is "one hundred thirty-eight million, one hundred eighty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 383839 767678 1151517 1535356 1919195 2303034 3070712 3454551 3838390 4606068 5757585 6909102 7676780 9212136 11515170 13818204 15353560 17272755 23030340 27636408 34545510 46060680 69091020 138182040