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138992560 = 2457248201
BaseRepresentation
bin10000100100011…
…01101110110000
3100200112112221121
420102031232300
5241040230220
621443032024
73305263060
oct1022155660
9320475847
10138992560
1171504193
123a66b614
1322a46925
14146613a0
15c307eaa
hex848dbb0

138992560 has 40 divisors (see below), whose sum is σ = 369324576. Its totient is φ = 47654400.

The previous prime is 138992551. The next prime is 138992573. The reversal of 138992560 is 65299831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×1389925603 (a number of 25 digits) contains 333 as substring.

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, 123541 + ... + 124660.

Almost surely, 2138992560 is an apocalyptic number.

138992560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138992560 is an abundant number, since it is smaller than the sum of its proper divisors (230332016).

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

138992560 is a wasteful number, since it uses less digits than its factorization.

138992560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248221 (or 248215 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 43.

The square root of 138992560 is about 11789.5105920475. The cubic root of 138992560 is about 518.0009043777. Note that the first 3 decimals are identical.

The spelling of 138992560 in words is "one hundred thirty-eight million, nine hundred ninety-two thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 248201 496402 992804 1241005 1737407 1985608 2482010 3474814 3971216 4964020 6949628 8687035 9928040 13899256 17374070 19856080 27798512 34748140 69496280 138992560