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138027376 = 2431421661
BaseRepresentation
bin10000011101000…
…10000101110000
3100121201111222001
420032202011300
5240313334001
621410223344
73264133114
oct1016420560
9317644861
10138027376
1170a05013
123a284b54
1322799506
141448d744
15c1b7001
hex83a2170

138027376 has 40 divisors (see below), whose sum is σ = 277129088. Its totient is φ = 66528000.

The previous prime is 138027359. The next prime is 138027413. The reversal of 138027376 is 673720831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208486 + ... + 209146.

Almost surely, 2138027376 is an apocalyptic number.

138027376 is a gapful number since it is divisible by the number (16) 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 138027376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138564544).

138027376 is an abundant number, since it is smaller than the sum of its proper divisors (139101712).

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

138027376 is a wasteful number, since it uses less digits than its factorization.

138027376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 138027376 is about 11748.5052666286. The cubic root of 138027376 is about 516.7990943697.

The spelling of 138027376 in words is "one hundred thirty-eight million, twenty-seven thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 31 62 124 248 421 496 661 842 1322 1684 2644 3368 5288 6736 10576 13051 20491 26102 40982 52204 81964 104408 163928 208816 278281 327856 556562 1113124 2226248 4452496 8626711 17253422 34506844 69013688 138027376