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123940192 = 2519238863
BaseRepresentation
bin1110110001100…
…10110101100000
322122012210222111
413120302311200
5223212041232
620144245104
73033321445
oct730626540
9278183874
10123940192
1163a63112
1235610794
131c8a64bc
14126639cc
15ad33047
hex7632d60

123940192 has 48 divisors (see below), whose sum is σ = 268047360. Its totient is φ = 56149632.

The previous prime is 123940181. The next prime is 123940199. The reversal of 123940192 is 291049321.

It is a super-2 number, since 2×1239401922 = 30722342385993728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123940199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9553 + ... + 18415.

It is an arithmetic number, because the mean of its divisors is an integer number (5584320).

Almost surely, 2123940192 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 123940192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134023680).

123940192 is an abundant number, since it is smaller than the sum of its proper divisors (144107168).

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

123940192 is a wasteful number, since it uses less digits than its factorization.

123940192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8915 (or 8907 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 123940192 is about 11132.8429432917. The cubic root of 123940192 is about 498.5829101738.

The spelling of 123940192 in words is "one hundred twenty-three million, nine hundred forty thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 19 23 32 38 46 76 92 152 184 304 368 437 608 736 874 1748 3496 6992 8863 13984 17726 35452 70904 141808 168397 203849 283616 336794 407698 673588 815396 1347176 1630792 2694352 3261584 3873131 5388704 6523168 7746262 15492524 30985048 61970096 123940192