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138923088 = 2434173967
BaseRepresentation
bin10000100011111…
…00110001010000
3100200102000122120
420101330301100
5241031014323
621441334240
73304553403
oct1021746120
9320360576
10138923088
1171466a77
123a637380
1322a21115
1414643d3a
15c2e25e3
hex847cc50

138923088 has 80 divisors (see below), whose sum is σ = 373059456. Its totient is φ = 44513280.

The previous prime is 138923053. The next prime is 138923089. The reversal of 138923088 is 880329831.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138923089) 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 15 ways as a sum of consecutive naturals, for example, 143181 + ... + 144147.

Almost surely, 2138923088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138923088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186529728).

138923088 is an abundant number, since it is smaller than the sum of its proper divisors (234136368).

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

138923088 is a wasteful number, since it uses less digits than its factorization.

138923088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 138923088 is about 11786.5638758715. The cubic root of 138923088 is about 517.9145866732.

The spelling of 138923088 in words is "one hundred thirty-eight million, nine hundred twenty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 73 82 123 146 164 219 246 292 328 438 492 584 656 876 967 984 1168 1752 1934 1968 2901 2993 3504 3868 5802 5986 7736 8979 11604 11972 15472 17958 23208 23944 35916 39647 46416 47888 70591 71832 79294 118941 141182 143664 158588 211773 237882 282364 317176 423546 475764 564728 634352 847092 951528 1129456 1694184 1903056 2894231 3388368 5788462 8682693 11576924 17365386 23153848 34730772 46307696 69461544 138923088