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123490304 = 21275973
BaseRepresentation
bin1110101110001…
…01000000000000
322121100221211222
413113011000000
5223103142204
620130454212
73026436020
oct727050000
9277327758
10123490304
1163786103
1235434368
131c7797b2
1412587a80
15ac94abe
hex75c5000

123490304 has 104 divisors (see below), whose sum is σ = 290944320. Its totient is φ = 51314688.

The previous prime is 123490303. The next prime is 123490309. The reversal of 123490304 is 403094321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123490303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1691612 + ... + 1691684.

Almost surely, 2123490304 is an apocalyptic number.

123490304 is a gapful number since it is divisible by the number (14) 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 123490304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145472160).

123490304 is an abundant number, since it is smaller than the sum of its proper divisors (167454016).

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

123490304 is an frugal number, since it uses more digits than its factorization.

123490304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 123490304 is about 11112.6191332197. The cubic root of 123490304 is about 497.9789134257.

The spelling of 123490304 in words is "one hundred twenty-three million, four hundred ninety thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 64 73 112 118 128 146 224 236 256 292 413 448 472 511 512 584 826 896 944 1022 1024 1168 1652 1792 1888 2044 2048 2336 3304 3584 3776 4088 4096 4307 4672 6608 7168 7552 8176 8614 9344 13216 14336 15104 16352 17228 18688 26432 28672 30149 30208 32704 34456 37376 52864 60298 60416 65408 68912 74752 105728 120596 120832 130816 137824 149504 211456 241192 241664 261632 275648 299008 422912 482384 523264 551296 845824 964768 1046528 1102592 1691648 1929536 2093056 2205184 3859072 4410368 7718144 8820736 15436288 17641472 30872576 61745152 123490304