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123497920 = 2657134241
BaseRepresentation
bin1110101110001…
…10110111000000
322121101100022001
413113012313000
5223103413140
620130553344
73026500150
oct727066700
9277340261
10123497920
11637908a7
1235438854
131c7800c0
141258a760
15ac96e9a
hex75c6dc0

123497920 has 112 divisors (see below), whose sum is σ = 362029248. Its totient is φ = 39075840.

The previous prime is 123497909. The next prime is 123497939. The reversal of 123497920 is 29794321.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 123497920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27000 + ... + 31240.

It is an arithmetic number, because the mean of its divisors is an integer number (3232404).

Almost surely, 2123497920 is an apocalyptic number.

123497920 is a gapful number since it is divisible by the number (10) 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 123497920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181014624).

123497920 is an abundant number, since it is smaller than the sum of its proper divisors (238531328).

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

123497920 is a wasteful number, since it uses less digits than its factorization.

123497920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4278 (or 4268 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 123497920 is about 11112.9618014281. The cubic root of 123497920 is about 497.9891504763.

The spelling of 123497920 in words is "one hundred twenty-three million, four hundred ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 130 140 160 182 208 224 260 280 320 364 416 448 455 520 560 728 832 910 1040 1120 1456 1820 2080 2240 2912 3640 4160 4241 5824 7280 8482 14560 16964 21205 29120 29687 33928 42410 55133 59374 67856 84820 110266 118748 135712 148435 169640 220532 237496 271424 275665 296870 339280 385931 441064 474992 551330 593740 678560 771862 882128 949984 1102660 1187480 1357120 1543724 1764256 1899968 1929655 2205320 2374960 3087448 3528512 3859310 4410640 4749920 6174896 7718620 8821280 9499840 12349792 15437240 17642560 24699584 30874480 61748960 123497920