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252127980 = 2232513107747
BaseRepresentation
bin11110000011100…
…10101011101100
3122120102102120100
433001302223230
51004021043410
641003551100
76151023666
oct1701625354
9576372510
10252127980
1111a357535
127052b490
1340309170
14256b1536
15172048c0
hexf072aec

252127980 has 72 divisors (see below), whose sum is σ = 823625712. Its totient is φ = 62061696.

The previous prime is 252127927. The next prime is 252127987. The reversal of 252127980 is 89721252.

252127980 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (252127987) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51534 + ... + 56213.

It is an arithmetic number, because the mean of its divisors is an integer number (11439246).

Almost surely, 2252127980 is an apocalyptic number.

252127980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252127980 is an abundant number, since it is smaller than the sum of its proper divisors (571497732).

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

252127980 is a wasteful number, since it uses less digits than its factorization.

252127980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107775 (or 107770 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 252127980 is about 15878.5383458302. The cubic root of 252127980 is about 631.7428686142.

The spelling of 252127980 in words is "two hundred fifty-two million, one hundred twenty-seven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 107747 215494 323241 430988 538735 646482 969723 1077470 1292964 1400711 1616205 1939446 2154940 2801422 3232410 3878892 4202133 4848615 5602844 6464820 7003555 8404266 9697230 12606399 14007110 16808532 19394460 21010665 25212798 28014220 42021330 50425596 63031995 84042660 126063990 252127980