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123134940 = 22325739371
BaseRepresentation
bin1110101011011…
…10001111011100
322120200220101100
413111232033130
5223010304230
620115113100
73023425665
oct725561734
9276626340
10123134940
1163563115
12352a2790
131c683b16
14124d436c
15ac24660
hex756e3dc

123134940 has 72 divisors (see below), whose sum is σ = 378666288. Its totient is φ = 32382720.

The previous prime is 123134933. The next prime is 123134969. The reversal of 123134940 is 49431321.

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 23 ways as a sum of consecutive naturals, for example, 8455 + ... + 17825.

It is an arithmetic number, because the mean of its divisors is an integer number (5259254).

Almost surely, 2123134940 is an apocalyptic number.

123134940 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 123134940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189333144).

123134940 is an abundant number, since it is smaller than the sum of its proper divisors (255531348).

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

123134940 is a wasteful number, since it uses less digits than its factorization.

123134940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9459 (or 9454 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 123134940 is about 11096.6184038201. The cubic root of 123134940 is about 497.5007819656.

The spelling of 123134940 in words is "one hundred twenty-three million, one hundred thirty-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 657 730 876 1095 1314 1460 2190 2628 3285 4380 6570 9371 13140 18742 28113 37484 46855 56226 84339 93710 112452 140565 168678 187420 281130 337356 421695 562260 684083 843390 1368166 1686780 2052249 2736332 3420415 4104498 6156747 6840830 8208996 10261245 12313494 13681660 20522490 24626988 30783735 41044980 61567470 123134940