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252895140 = 223251404973
BaseRepresentation
bin11110001001011…
…01111110100100
3122121212101220200
433010231332210
51004220121030
641032230500
76160400421
oct1704557644
9577771820
10252895140
1111a830953
127083b430
13405173c4
1425830d48
1517306d60
hexf12dfa4

252895140 has 36 divisors (see below), whose sum is σ = 767115804. Its totient is φ = 67438656.

The previous prime is 252895127. The next prime is 252895147. The reversal of 252895140 is 41598252.

252895140 is a `hidden beast` number, since 2 + 528 + 95 + 1 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 153214884 + 99680256 = 12378^2 + 9984^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 252895095 and 252895104.

It is not an unprimeable number, because it can be changed into a prime (252895147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 702307 + ... + 702666.

Almost surely, 2252895140 is an apocalyptic number.

252895140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252895140 is an abundant number, since it is smaller than the sum of its proper divisors (514220664).

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

252895140 is a wasteful number, since it uses less digits than its factorization.

252895140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404988 (or 1404983 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 252895140 is about 15902.6771331119. The cubic root of 252895140 is about 632.3829630294.

The spelling of 252895140 in words is "two hundred fifty-two million, eight hundred ninety-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1404973 2809946 4214919 5619892 7024865 8429838 12644757 14049730 16859676 21074595 25289514 28099460 42149190 50579028 63223785 84298380 126447570 252895140