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253857420 = 223251410319
BaseRepresentation
bin11110010000110…
…00111010001100
3122200200021220200
433020120322030
51004441414140
641105013500
76201516045
oct1710307214
9580607820
10253857420
11120328923
1271024290
13407933bb
1425a018cc
1517447030
hexf218e8c

253857420 has 36 divisors (see below), whose sum is σ = 770034720. Its totient is φ = 67695264.

The previous prime is 253857377. The next prime is 253857421. The reversal of 253857420 is 24758352.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253857421) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 704980 + ... + 705339.

Almost surely, 2253857420 is an apocalyptic number.

253857420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253857420 is an abundant number, since it is smaller than the sum of its proper divisors (516177300).

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

253857420 is a wasteful number, since it uses less digits than its factorization.

253857420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410334 (or 1410329 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 253857420 is about 15932.9036901627. The cubic root of 253857420 is about 633.1840319041.

The spelling of 253857420 in words is "two hundred fifty-three million, eight hundred fifty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1410319 2820638 4230957 5641276 7051595 8461914 12692871 14103190 16923828 21154785 25385742 28206380 42309570 50771484 63464355 84619140 126928710 253857420