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13187900 = 22521119631
BaseRepresentation
bin110010010011…
…101100111100
3220211000101202
4302103230330
511334003100
61150355032
7220044455
oct62235474
926730352
1013187900
1174982a0
1244bba78
1329698bb
141a7412c
1512577d5
hexc93b3c

13187900 has 72 divisors (see below), whose sum is σ = 32914560. Its totient is φ = 4536000.

The previous prime is 13187897. The next prime is 13187917. The reversal of 13187900 is 978131.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 7.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 20585 + ... + 21215.

Almost surely, 213187900 is an apocalyptic number.

13187900 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 13187900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16457280).

13187900 is an abundant number, since it is smaller than the sum of its proper divisors (19726660).

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

13187900 is a wasteful number, since it uses less digits than its factorization.

13187900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 29.

The square root of 13187900 is about 3631.5148354371. The cubic root of 13187900 is about 236.2609151102.

The spelling of 13187900 in words is "thirteen million, one hundred eighty-seven thousand, nine hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 275 380 418 475 550 631 836 950 1045 1100 1262 1900 2090 2524 3155 4180 5225 6310 6941 10450 11989 12620 13882 15775 20900 23978 27764 31550 34705 47956 59945 63100 69410 119890 131879 138820 173525 239780 263758 299725 347050 527516 599450 659395 694100 1198900 1318790 2637580 3296975 6593950 13187900