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253942920 = 233257119161
BaseRepresentation
bin11110010001011…
…01110010001000
3122200211122012100
433020231302020
51010002133140
641110513400
76202323240
oct1710556210
9580748170
10253942920
11120387090
1271065860
13407c32aa
1425a24b20
1517462530
hexf22dc88

253942920 has 192 divisors, whose sum is σ = 1029075840. Its totient is φ = 52761600.

The previous prime is 253942919. The next prime is 253942921. The reversal of 253942920 is 29249352.

It is an interprime number because it is at equal distance from previous prime (253942919) and next prime (253942921).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (253942921) 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 47 ways as a sum of consecutive naturals, for example, 23140 + ... + 32300.

It is an arithmetic number, because the mean of its divisors is an integer number (5359770).

Almost surely, 2253942920 is an apocalyptic number.

253942920 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 253942920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514537920).

253942920 is an abundant number, since it is smaller than the sum of its proper divisors (775132920).

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

253942920 is a wasteful number, since it uses less digits than its factorization.

253942920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9196 (or 9189 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 253942920 is about 15935.5865910232. The cubic root of 253942920 is about 633.2551100682.

The spelling of 253942920 in words is "two hundred fifty-three million, nine hundred forty-two thousand, nine hundred twenty".