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253355420 = 225177011063
BaseRepresentation
bin11110001100111…
…10010110011100
3122122201210022002
433012132112130
51004324333140
641050141432
76164325353
oct1706362634
9578653262
10253355420
1112001574a
1270a21878
1340648a66
142591099a
1517398415
hexf19e59c

253355420 has 48 divisors (see below), whose sum is σ = 564677568. Its totient is φ = 95155200.

The previous prime is 253355413. The next prime is 253355447. The reversal of 253355420 is 24553352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237809 + ... + 238871.

It is an arithmetic number, because the mean of its divisors is an integer number (11764116).

Almost surely, 2253355420 is an apocalyptic number.

253355420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253355420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282338784).

253355420 is an abundant number, since it is smaller than the sum of its proper divisors (311322148).

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

253355420 is a wasteful number, since it uses less digits than its factorization.

253355420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 29.

The square root of 253355420 is about 15917.1423314614. The cubic root of 253355420 is about 632.7663852125.

The spelling of 253355420 in words is "two hundred fifty-three million, three hundred fifty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 701 1063 1402 2126 2804 3505 4252 5315 7010 10630 11917 14020 18071 21260 23834 36142 47668 59585 72284 90355 119170 180710 238340 361420 745163 1490326 2980652 3725815 7451630 12667771 14903260 25335542 50671084 63338855 126677710 253355420