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253217980 = 22529634273
BaseRepresentation
bin11110001011111…
…00110010111100
3122122110210202201
433011330302330
51004310433410
641043201244
76163213561
oct1705746274
9578423681
10253217980
1111aa31464
1270976224
13405cb332
14258b6868
151736c83a
hexf17ccbc

253217980 has 24 divisors (see below), whose sum is σ = 532061712. Its totient is φ = 101229312.

The previous prime is 253217969. The next prime is 253218001. The reversal of 253217980 is 89712352.

It is a congruent number.

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, 57124 + ... + 61396.

It is an arithmetic number, because the mean of its divisors is an integer number (22169238).

Almost surely, 2253217980 is an apocalyptic number.

253217980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253217980 is an abundant number, since it is smaller than the sum of its proper divisors (278843732).

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

253217980 is a wasteful number, since it uses less digits than its factorization.

253217980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7245 (or 7243 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 253217980 is about 15912.8243878954. The cubic root of 253217980 is about 632.6519436864.

The spelling of 253217980 in words is "two hundred fifty-three million, two hundred seventeen thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 2963 4273 5926 8546 11852 14815 17092 21365 29630 42730 59260 85460 12660899 25321798 50643596 63304495 126608990 253217980