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123380616 = 23329269659
BaseRepresentation
bin1110101101010…
…10001110001000
322121011101101110
413112222032020
5223041134431
620124250320
73025501152
oct726521610
9277141343
10123380616
1163710757
12353a09a0
131c73b8a8
1412559ad2
15ac72346
hex75aa388

123380616 has 64 divisors (see below), whose sum is σ = 320760000. Its totient is φ = 39501056.

The previous prime is 123380591. The next prime is 123380617. The reversal of 123380616 is 616083321.

It is not an unprimeable number, because it can be changed into a prime (123380617) 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 15 ways as a sum of consecutive naturals, for example, 186895 + ... + 187553.

It is an arithmetic number, because the mean of its divisors is an integer number (5011875).

Almost surely, 2123380616 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 123380616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160380000).

123380616 is an abundant number, since it is smaller than the sum of its proper divisors (197379384).

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

123380616 is a wasteful number, since it uses less digits than its factorization.

123380616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 123380616 is about 11107.6827466398. The cubic root of 123380616 is about 497.8314295351.

The spelling of 123380616 in words is "one hundred twenty-three million, three hundred eighty thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 269 348 538 659 696 807 1076 1318 1614 1977 2152 2636 3228 3954 5272 6456 7801 7908 15602 15816 19111 23403 31204 38222 46806 57333 62408 76444 93612 114666 152888 177271 187224 229332 354542 458664 531813 709084 1063626 1418168 2127252 4254504 5140859 10281718 15422577 20563436 30845154 41126872 61690308 123380616