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123152460 = 22353173907
BaseRepresentation
bin1110101011100…
…10100001001100
322120201210102020
413111302201030
5223011334320
620115330140
73023531034
oct725624114
9276653366
10123152460
11635752a2
12352b0950
131c68baa2
14124da8c4
15ac29940
hex757284c

123152460 has 96 divisors (see below), whose sum is σ = 361224192. Its totient is φ = 31311360.

The previous prime is 123152459. The next prime is 123152467. The reversal of 123152460 is 64251321.

It is a self number, because there is not a number n which added to its sum of digits gives 123152460.

It is not an unprimeable number, because it can be changed into a prime (123152467) 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 31 ways as a sum of consecutive naturals, for example, 135327 + ... + 136233.

It is an arithmetic number, because the mean of its divisors is an integer number (3762752).

Almost surely, 2123152460 is an apocalyptic number.

123152460 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 123152460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180612096).

123152460 is an abundant number, since it is smaller than the sum of its proper divisors (238071732).

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

123152460 is a wasteful number, since it uses less digits than its factorization.

123152460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 123152460 is about 11097.4078054292. The cubic root of 123152460 is about 497.5243761362.

The spelling of 123152460 in words is "one hundred twenty-three million, one hundred fifty-two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 73 93 124 146 155 186 219 292 310 365 372 438 465 620 730 876 907 930 1095 1460 1814 1860 2190 2263 2721 3628 4380 4526 4535 5442 6789 9052 9070 10884 11315 13578 13605 18140 22630 27156 27210 28117 33945 45260 54420 56234 66211 67890 84351 112468 132422 135780 140585 168702 198633 264844 281170 331055 337404 397266 421755 562340 662110 794532 843510 993165 1324220 1687020 1986330 2052541 3972660 4105082 6157623 8210164 10262705 12315246 20525410 24630492 30788115 41050820 61576230 123152460