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253340640 = 25325741613
BaseRepresentation
bin11110001100110…
…10101111100000
3122122201001000200
433012122233200
51004323400030
641045545200
76164234310
oct1706325740
9578631020
10253340640
11120005633
1270a15200
1340642107
1425909440
1517393d60
hexf19abe0

253340640 has 288 divisors, whose sum is σ = 1013777856. Its totient is φ = 56401920.

The previous prime is 253340629. The next prime is 253340663. The reversal of 253340640 is 46043352.

253340640 is a `hidden beast` number, since 253 + 3 + 406 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 412974 + ... + 413586.

It is an arithmetic number, because the mean of its divisors is an integer number (3520062).

Almost surely, 2253340640 is an apocalyptic number.

253340640 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 253340640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506888928).

253340640 is an abundant number, since it is smaller than the sum of its proper divisors (760437216).

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

253340640 is a wasteful number, since it uses less digits than its factorization.

253340640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 253340640 is about 15916.6780453712. The cubic root of 253340640 is about 632.7540804049.

Adding to 253340640 its reverse (46043352), we get a palindrome (299383992).

The spelling of 253340640 in words is "two hundred fifty-three million, three hundred forty thousand, six hundred forty".