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251442120 = 23352095351
BaseRepresentation
bin11101111110010…
…11001111001000
3122112010120202010
432333023033020
51003332121440
640541135520
76142136256
oct1677131710
9575116663
10251442120
11119a29206
127025a5a0
1340128c27
14255735d6
151711b580
hexefcb3c8

251442120 has 32 divisors (see below), whose sum is σ = 754326720. Its totient is φ = 67051200.

The previous prime is 251442097. The next prime is 251442203. The reversal of 251442120 is 21244152.

251442120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1047556 + ... + 1047795.

It is an arithmetic number, because the mean of its divisors is an integer number (23572710).

Almost surely, 2251442120 is an apocalyptic number.

251442120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

251442120 is an abundant number, since it is smaller than the sum of its proper divisors (502884600).

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

251442120 is a wasteful number, since it uses less digits than its factorization.

251442120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095365 (or 2095361 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 251442120 is about 15856.9265622314. The cubic root of 251442120 is about 631.1695081500.

Adding to 251442120 its reverse (21244152), we get a palindrome (272686272).

The spelling of 251442120 in words is "two hundred fifty-one million, four hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2095351 4190702 6286053 8381404 10476755 12572106 16762808 20953510 25144212 31430265 41907020 50288424 62860530 83814040 125721060 251442120