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138477560 = 23513283941
BaseRepresentation
bin10000100000011…
…11111111111000
3100122120101111112
420100033333320
5240422240220
621424015452
73301016444
oct1020177770
9318511445
10138477560
1171192271
123a461588
13228c63b0
1414569824
15c2555c5
hex840fff8

138477560 has 64 divisors (see below), whose sum is σ = 337085280. Its totient is φ = 50895360.

The previous prime is 138477551. The next prime is 138477583. The reversal of 138477560 is 65774831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146690 + ... + 147630.

Almost surely, 2138477560 is an apocalyptic number.

138477560 is a gapful number since it is divisible by the number (10) 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 138477560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168542640).

138477560 is an abundant number, since it is smaller than the sum of its proper divisors (198607720).

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

138477560 is a wasteful number, since it uses less digits than its factorization.

138477560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 41.

The square root of 138477560 is about 11767.6488730757. The cubic root of 138477560 is about 517.3603410075.

The spelling of 138477560 in words is "one hundred thirty-eight million, four hundred seventy-seven thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 283 520 566 941 1132 1415 1882 2264 2830 3679 3764 4705 5660 7358 7528 9410 11320 12233 14716 18395 18820 24466 29432 36790 37640 48932 61165 73580 97864 122330 147160 244660 266303 489320 532606 1065212 1331515 2130424 2663030 3461939 5326060 6923878 10652120 13847756 17309695 27695512 34619390 69238780 138477560