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123353140 = 225232291171
BaseRepresentation
bin1110101101000…
…11100000110100
322121002222200211
413112203200310
5223034300030
620123515204
73025325101
oct726434064
9277088624
10123353140
11636a2049
1235388b04
131c72c231
141254daa8
15ac6912a
hex75a3834

123353140 has 48 divisors (see below), whose sum is σ = 271716480. Its totient is φ = 46949760.

The previous prime is 123353107. The next prime is 123353143. The reversal of 123353140 is 41353321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123353143) 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, 104755 + ... + 105925.

It is an arithmetic number, because the mean of its divisors is an integer number (5660760).

Almost surely, 2123353140 is an apocalyptic number.

123353140 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 123353140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135858240).

123353140 is an abundant number, since it is smaller than the sum of its proper divisors (148363340).

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

123353140 is a wasteful number, since it uses less digits than its factorization.

123353140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 123353140 is about 11106.4458761568. The cubic root of 123353140 is about 497.7944722661.

The spelling of 123353140 in words is "one hundred twenty-three million, three hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 229 230 458 460 916 1145 1171 2290 2342 4580 4684 5267 5855 10534 11710 21068 23420 26335 26933 52670 53866 105340 107732 134665 268159 269330 536318 538660 1072636 1340795 2681590 5363180 6167657 12335314 24670628 30838285 61676570 123353140