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138023172 = 2232737113131
BaseRepresentation
bin10000011101000…
…01000100000100
3100121201022012100
420032201010010
5240313220142
621410152100
73264114630
oct1016410404
9317638170
10138023172
1170a01941
123a282630
1322797621
141448bdc0
15c1b5b4c
hex83a1104

138023172 has 144 divisors (see below), whose sum is σ = 416287872. Its totient is φ = 37739520.

The previous prime is 138023159. The next prime is 138023177. The reversal of 138023172 is 271320831.

It is not an unprimeable number, because it can be changed into a prime (138023177) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1053547 + ... + 1053677.

It is an arithmetic number, because the mean of its divisors is an integer number (2890888).

Almost surely, 2138023172 is an apocalyptic number.

138023172 is a gapful number since it is divisible by the number (12) 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 138023172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208143936).

138023172 is an abundant number, since it is smaller than the sum of its proper divisors (278264700).

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

138023172 is a wasteful number, since it uses less digits than its factorization.

138023172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 138023172 is about 11748.3263488890. The cubic root of 138023172 is about 516.7938474747.

The spelling of 138023172 in words is "one hundred thirty-eight million, twenty-three thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 113 126 131 148 222 226 252 259 262 333 339 393 444 452 518 524 666 678 777 786 791 917 1017 1036 1179 1332 1356 1554 1572 1582 1834 2034 2331 2358 2373 2751 3108 3164 3668 4068 4181 4662 4716 4746 4847 5502 7119 8253 8362 9324 9492 9694 11004 12543 14238 14541 14803 16506 16724 19388 25086 28476 29082 29267 29606 33012 33929 37629 43623 44409 50172 58164 58534 59212 67858 75258 87246 87801 88818 101787 103621 117068 133227 135716 150516 174492 175602 177636 203574 207242 263403 266454 305361 310863 351204 407148 414484 526806 532908 547711 610722 621726 932589 1053612 1095422 1221444 1243452 1643133 1865178 2190844 3286266 3730356 3833977 4929399 6572532 7667954 9858798 11501931 15335908 19717596 23003862 34505793 46007724 69011586 138023172