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123145320 = 23354312381
BaseRepresentation
bin1110101011100…
…00110001101000
322120201102121210
413111300301220
5223011122240
620115233120
73023501154
oct725606150
9276642553
10123145320
116356a9a1
12352a87a0
131c68876c
14124d8064
15ac27780
hex7570c68

123145320 has 64 divisors (see below), whose sum is σ = 370448640. Its totient is φ = 32748800.

The previous prime is 123145313. The next prime is 123145333. The reversal of 123145320 is 23541321.

It is an unprimeable number.

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, 50530 + ... + 52910.

It is an arithmetic number, because the mean of its divisors is an integer number (5788260).

Almost surely, 2123145320 is an apocalyptic number.

123145320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123145320 is an abundant number, since it is smaller than the sum of its proper divisors (247303320).

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

123145320 is a wasteful number, since it uses less digits than its factorization.

123145320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2826 (or 2822 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 123145320 is about 11097.0861040185. The cubic root of 123145320 is about 497.5147609738.

Adding to 123145320 its reverse (23541321), we get a palindrome (146686641).

The spelling of 123145320 in words is "one hundred twenty-three million, one hundred forty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 431 862 1293 1724 2155 2381 2586 3448 4310 4762 5172 6465 7143 8620 9524 10344 11905 12930 14286 17240 19048 23810 25860 28572 35715 47620 51720 57144 71430 95240 142860 285720 1026211 2052422 3078633 4104844 5131055 6157266 8209688 10262110 12314532 15393165 20524220 24629064 30786330 41048440 61572660 123145320