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12137850 = 2385237
BaseRepresentation
bin101110010011…
…010101111010
3211211200000000
4232103111322
511101402400
61112053430
7205112214
oct56232572
924750000
1012137850
11694038a
124094276
13268c97a
14187d5b4
1510eb600
hexb9357a

12137850 has 108 divisors (see below), whose sum is σ = 34778094. Its totient is φ = 3149280.

The previous prime is 12137849. The next prime is 12137857. The reversal of 12137850 is 5873121.

It can be written as a sum of positive squares in 3 ways, for example, as 11029041 + 1108809 = 3321^2 + 1053^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12137857) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 328032 + ... + 328068.

Almost surely, 212137850 is an apocalyptic number.

12137850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12137850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17389047).

12137850 is an abundant number, since it is smaller than the sum of its proper divisors (22640244).

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

12137850 is an frugal number, since it uses more digits than its factorization.

12137850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 12137850 is about 3483.9417331523. The cubic root of 12137850 is about 229.8161732170.

The spelling of 12137850 in words is "twelve million, one hundred thirty-seven thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 37 45 50 54 74 75 81 90 111 135 150 162 185 222 225 243 270 333 370 405 450 486 555 666 675 729 810 925 999 1110 1215 1350 1458 1665 1850 1998 2025 2187 2430 2775 2997 3330 3645 4050 4374 4995 5550 5994 6075 6561 7290 8325 8991 9990 10935 12150 13122 14985 16650 17982 18225 21870 24975 26973 29970 32805 36450 44955 49950 53946 54675 65610 74925 80919 89910 109350 134865 149850 161838 164025 224775 242757 269730 328050 404595 449550 485514 674325 809190 1213785 1348650 2022975 2427570 4045950 6068925 12137850