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253536420 = 22354225607
BaseRepresentation
bin11110001110010…
…10100010100100
3122200001222120210
433013022202210
51004401131140
641054055420
76166011144
oct1707124244
9580058523
10253536420
11120129735
1270aaa570
13406b0267
142595a924
15173d1d80
hexf1ca8a4

253536420 has 24 divisors (see below), whose sum is σ = 709902144. Its totient is φ = 67609696.

The previous prime is 253536407. The next prime is 253536433. The reversal of 253536420 is 24635352.

It is an interprime number because it is at equal distance from previous prime (253536407) and next prime (253536433).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 7 ways as a sum of consecutive naturals, for example, 2112744 + ... + 2112863.

It is an arithmetic number, because the mean of its divisors is an integer number (29579256).

Almost surely, 2253536420 is an apocalyptic number.

253536420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253536420 is an abundant number, since it is smaller than the sum of its proper divisors (456365724).

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

253536420 is a wasteful number, since it uses less digits than its factorization.

253536420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4225619 (or 4225617 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 253536420 is about 15922.8270103019. The cubic root of 253536420 is about 632.9170345157.

The spelling of 253536420 in words is "two hundred fifty-three million, five hundred thirty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 4225607 8451214 12676821 16902428 21128035 25353642 42256070 50707284 63384105 84512140 126768210 253536420