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123940000 = 25546197
BaseRepresentation
bin1110110001100…
…10110010100000
322122012210201101
413120302302200
5223212040000
620144244144
73033321052
oct730626240
9278183641
10123940000
1163a62a58
1235610654
131c8a63a2
14126638d2
15ad32e6a
hex7632ca0

123940000 has 60 divisors (see below), whose sum is σ = 304960194. Its totient is φ = 49568000.

The previous prime is 123939929. The next prime is 123940001. The reversal of 123940000 is 49321.

It can be written as a sum of positive squares in 5 ways, for example, as 374544 + 123565456 = 612^2 + 11116^2 .

It is a super-2 number, since 2×1239400002 = 30722247200000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 123940000.

It is not an unprimeable number, because it can be changed into a prime (123940001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 16902 + ... + 23098.

Almost surely, 2123940000 is an apocalyptic number.

123940000 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 123940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152480097).

123940000 is an abundant number, since it is smaller than the sum of its proper divisors (181020194).

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

123940000 is an frugal number, since it uses more digits than its factorization.

123940000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6227 (or 6204 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 123940000 is about 11132.8343201541. The cubic root of 123940000 is about 498.5826527164.

Adding to 123940000 its reverse (49321), we get a palindrome (123989321).

The spelling of 123940000 in words is "one hundred twenty-three million, nine hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 6197 10000 12394 20000 24788 30985 49576 61970 99152 123940 154925 198304 247880 309850 495760 619700 774625 991520 1239400 1549250 2478800 3098500 3873125 4957600 6197000 7746250 12394000 15492500 24788000 30985000 61970000 123940000