Search a number
-
+
123998256 = 24331915107
BaseRepresentation
bin1110110010000…
…01000000110000
322122022202122000
413121001000300
5223220421011
620145414000
73033652644
oct731010060
9278282560
10123998256
1163aa27a8
123563a300
131c8c6a65
141267ac24
15ad45356
hex7641030

123998256 has 80 divisors (see below), whose sum is σ = 374678400. Its totient is φ = 39154752.

The previous prime is 123998249. The next prime is 123998257. The reversal of 123998256 is 652899321.

123998256 is a `hidden beast` number, since 1 + 2 + 399 + 8 + 256 = 666.

It is not an unprimeable number, because it can be changed into a prime (123998257) 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, 655 + ... + 15761.

It is an arithmetic number, because the mean of its divisors is an integer number (4683480).

Almost surely, 2123998256 is an apocalyptic number.

123998256 is a gapful number since it is divisible by the number (16) 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 123998256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187339200).

123998256 is an abundant number, since it is smaller than the sum of its proper divisors (250680144).

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

123998256 is a wasteful number, since it uses less digits than its factorization.

123998256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15143 (or 15131 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 123998256 is about 11135.4504174730. The cubic root of 123998256 is about 498.6607573945.

The spelling of 123998256 in words is "one hundred twenty-three million, nine hundred ninety-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2736 4104 8208 15107 30214 45321 60428 90642 120856 135963 181284 241712 271926 287033 362568 407889 543852 574066 725136 815778 861099 1087704 1148132 1631556 1722198 2175408 2296264 2583297 3263112 3444396 4592528 5166594 6526224 6888792 7749891 10333188 13777584 15499782 20666376 30999564 41332752 61999128 123998256