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123153340 = 225411011487
BaseRepresentation
bin1110101011100…
…10101110111100
322120201211121211
413111302232330
5223011401330
620115334204
73023533432
oct725625674
9276654554
10123153340
1163575a22
12352b1364
131c68c2cb
14124dad52
15ac29d2a
hex7572bbc

123153340 has 48 divisors (see below), whose sum is σ = 267732864. Its totient is φ = 47552000.

The previous prime is 123153319. The next prime is 123153361. The reversal of 123153340 is 43351321.

It is an interprime number because it is at equal distance from previous prime (123153319) and next prime (123153361).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82077 + ... + 83563.

It is an arithmetic number, because the mean of its divisors is an integer number (5577768).

Almost surely, 2123153340 is an apocalyptic number.

123153340 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 123153340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133866432).

123153340 is an abundant number, since it is smaller than the sum of its proper divisors (144579524).

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

123153340 is a wasteful number, since it uses less digits than its factorization.

123153340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1636 counting only the distinct ones).

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

The square root of 123153340 is about 11097.4474542572. The cubic root of 123153340 is about 497.5255611725.

The spelling of 123153340 in words is "one hundred twenty-three million, one hundred fifty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 41 82 101 164 202 205 404 410 505 820 1010 1487 2020 2974 4141 5948 7435 8282 14870 16564 20705 29740 41410 60967 82820 121934 150187 243868 300374 304835 600748 609670 750935 1219340 1501870 3003740 6157667 12315334 24630668 30788335 61576670 123153340