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138571216 = 24721737281
BaseRepresentation
bin10000100001001…
…10110111010000
3100122202010222021
420100212313100
5240433234331
621430021224
73301556500
oct1020466720
9318663867
10138571216
1171246673
123a4a7814
1322929c04
1414591a00
15c273211
hex8426dd0

138571216 has 120 divisors (see below), whose sum is σ = 340833096. Its totient is φ = 54190080.

The previous prime is 138571211. The next prime is 138571219. The reversal of 138571216 is 612175831.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 79281216 + 59290000 = 8904^2 + 7700^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138571211) 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 23 ways as a sum of consecutive naturals, for example, 492996 + ... + 493276.

Almost surely, 2138571216 is an apocalyptic number.

138571216 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 138571216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170416548).

138571216 is an abundant number, since it is smaller than the sum of its proper divisors (202261880).

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

138571216 is a wasteful number, since it uses less digits than its factorization.

138571216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 344 counting only the distinct ones).

The product of its digits is 10080, while the sum is 34.

The square root of 138571216 is about 11771.6275850028. The cubic root of 138571216 is about 517.4769495050.

The spelling of 138571216 in words is "one hundred thirty-eight million, five hundred seventy-one thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 34 37 49 56 68 74 98 112 119 136 148 196 238 259 272 281 296 392 476 518 562 592 629 784 833 952 1036 1124 1258 1666 1813 1904 1967 2072 2248 2516 3332 3626 3934 4144 4403 4496 4777 5032 6664 7252 7868 8806 9554 10064 10397 13328 13769 14504 15736 17612 19108 20794 27538 29008 30821 31472 33439 35224 38216 41588 55076 61642 66878 70448 72779 76432 83176 110152 123284 133756 145558 166352 176749 220304 234073 246568 267512 291116 353498 468146 493136 509453 535024 582232 706996 936292 1018906 1164464 1237243 1413992 1872584 2037812 2474486 2827984 3745168 4075624 4948972 8151248 8660701 9897944 17321402 19795888 34642804 69285608 138571216