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253963140 = 22355971741
BaseRepresentation
bin11110010001100…
…10101110000100
3122200212122221020
433020302232010
51010003310030
641111151140
76202436214
oct1710625604
9580778836
10253963140
111203a02a2
12710754b0
13407cc562
1425a2c244
1517468510
hexf232b84

253963140 has 48 divisors (see below), whose sum is σ = 723159360. Its totient is φ = 66574720.

The previous prime is 253963123. The next prime is 253963163. The reversal of 253963140 is 41369352.

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 15 ways as a sum of consecutive naturals, for example, 32331 + ... + 39410.

It is an arithmetic number, because the mean of its divisors is an integer number (15065820).

Almost surely, 2253963140 is an apocalyptic number.

253963140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253963140 is an abundant number, since it is smaller than the sum of its proper divisors (469196220).

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

253963140 is a wasteful number, since it uses less digits than its factorization.

253963140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71812 (or 71810 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 253963140 is about 15936.2210075036. The cubic root of 253963140 is about 633.2719170977.

The spelling of 253963140 in words is "two hundred fifty-three million, nine hundred sixty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 885 1180 1770 3540 71741 143482 215223 286964 358705 430446 717410 860892 1076115 1434820 2152230 4232719 4304460 8465438 12698157 16930876 21163595 25396314 42327190 50792628 63490785 84654380 126981570 253963140