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138861696 = 273536823
BaseRepresentation
bin10000100011011…
…01110010000000
3100200021220102210
420101231302000
5241022033241
621440142120
73304206411
oct1021556200
9320256383
10138861696
1171424936
123a607940
13229cc1ac
1414629808
15c2ce316
hex846dc80

138861696 has 64 divisors (see below), whose sum is σ = 375865920. Its totient is φ = 45407232.

The previous prime is 138861691. The next prime is 138861727. The reversal of 138861696 is 696168831.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (138861691) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16941 + ... + 23763.

It is an arithmetic number, because the mean of its divisors is an integer number (5872905).

Almost surely, 2138861696 is an apocalyptic number.

138861696 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 138861696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187932960).

138861696 is an abundant number, since it is smaller than the sum of its proper divisors (237004224).

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

138861696 is an equidigital number, since it uses as much as digits as its factorization.

138861696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6893 (or 6881 counting only the distinct ones).

The product of its digits is 373248, while the sum is 48.

The square root of 138861696 is about 11783.9592667320. The cubic root of 138861696 is about 517.8382842683.

The spelling of 138861696 in words is "one hundred thirty-eight million, eight hundred sixty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 318 384 424 636 848 1272 1696 2544 3392 5088 6784 6823 10176 13646 20352 20469 27292 40938 54584 81876 109168 163752 218336 327504 361619 436672 655008 723238 873344 1084857 1310016 1446476 2169714 2620032 2892952 4339428 5785904 8678856 11571808 17357712 23143616 34715424 46287232 69430848 138861696