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253378420 = 22512668921
BaseRepresentation
bin11110001101000…
…11111101110100
3122122202221211221
433012203331310
51004331102140
641050440124
76164452411
oct1706437564
9578687757
10253378420
11120030a59
1270a33044
1340656379
1425919108
15173a014a
hexf1a3f74

253378420 has 12 divisors (see below), whose sum is σ = 532094724. Its totient is φ = 101351360.

The previous prime is 253378399. The next prime is 253378427. The reversal of 253378420 is 24873352.

It can be written as a sum of positive squares in 2 ways, for example, as 179452816 + 73925604 = 13396^2 + 8598^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253378427) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 6334441 + ... + 6334480.

It is an arithmetic number, because the mean of its divisors is an integer number (44341227).

Almost surely, 2253378420 is an apocalyptic number.

253378420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253378420 is an abundant number, since it is smaller than the sum of its proper divisors (278716304).

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

253378420 is a wasteful number, since it uses less digits than its factorization.

253378420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12668930 (or 12668928 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 253378420 is about 15917.8648065625. The cubic root of 253378420 is about 632.7855324727.

The spelling of 253378420 in words is "two hundred fifty-three million, three hundred seventy-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 12668921 25337842 50675684 63344605 126689210 253378420