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138705520 = 2456192801
BaseRepresentation
bin10000100010001…
…11101001110000
3100122222222012111
420101013221300
5241002034040
621432535104
73302656162
oct1021075160
9318888174
10138705520
1171328568
123a551494
1322976095
14145c8932
15c29cdea
hex8447a70

138705520 has 40 divisors (see below), whose sum is σ = 323126640. Its totient is φ = 55372800.

The previous prime is 138705517. The next prime is 138705527. The reversal of 138705520 is 25507831.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138705527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48120 + ... + 50920.

It is an arithmetic number, because the mean of its divisors is an integer number (8078166).

Almost surely, 2138705520 is an apocalyptic number.

138705520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138705520 is an abundant number, since it is smaller than the sum of its proper divisors (184421120).

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

138705520 is a wasteful number, since it uses less digits than its factorization.

138705520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3433 (or 3427 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 138705520 is about 11777.3307671985. The cubic root of 138705520 is about 517.6440760442.

The spelling of 138705520 in words is "one hundred thirty-eight million, seven hundred five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 619 1238 2476 2801 3095 4952 5602 6190 9904 11204 12380 14005 22408 24760 28010 44816 49520 56020 112040 224080 1733819 3467638 6935276 8669095 13870552 17338190 27741104 34676380 69352760 138705520