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123140928 = 26317311217
BaseRepresentation
bin1110101011011…
…11101101000000
322120201012121010
413111233231000
5223011002203
620115200520
73023452311
oct725575500
9276635533
10123140928
1163567669
12352a6140
131c686771
14124d6608
15ac26303
hex756fb40

123140928 has 112 divisors (see below), whose sum is σ = 356396544. Its totient is φ = 37355520.

The previous prime is 123140923. The next prime is 123140933. The reversal of 123140928 is 829041321.

It is an interprime number because it is at equal distance from previous prime (123140923) and next prime (123140933).

It is a junction number, because it is equal to n+sod(n) for n = 123140895 and 123140904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123140923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100576 + ... + 101792.

It is an arithmetic number, because the mean of its divisors is an integer number (3182112).

Almost surely, 2123140928 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 123140928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178198272).

123140928 is an abundant number, since it is smaller than the sum of its proper divisors (233255616).

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

123140928 is a wasteful number, since it uses less digits than its factorization.

123140928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 123140928 is about 11096.8882124675. Note that the first 3 decimals coincide. The cubic root of 123140928 is about 497.5088462523.

The spelling of 123140928 in words is "one hundred twenty-three million, one hundred forty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 64 68 93 96 102 124 136 186 192 204 248 272 372 408 496 527 544 744 816 992 1054 1088 1217 1488 1581 1632 1984 2108 2434 2976 3162 3264 3651 4216 4868 5952 6324 7302 8432 9736 12648 14604 16864 19472 20689 25296 29208 33728 37727 38944 41378 50592 58416 62067 75454 77888 82756 101184 113181 116832 124134 150908 165512 226362 233664 248268 301816 331024 452724 496536 603632 641359 662048 905448 993072 1207264 1282718 1324096 1810896 1924077 1986144 2414528 2565436 3621792 3848154 3972288 5130872 7243584 7696308 10261744 15392616 20523488 30785232 41046976 61570464 123140928