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252016940 = 22571800121
BaseRepresentation
bin11110000010101…
…11100100101100
3122120012210020202
433001113210230
51004004020230
641001333032
76150052160
oct1701274454
9576183222
10252016940
1111a29106a
1270497178
134029a766
1425682ca0
15171d1a45
hexf05792c

252016940 has 24 divisors (see below), whose sum is σ = 604840992. Its totient is φ = 86405760.

The previous prime is 252016927. The next prime is 252016943. The reversal of 252016940 is 49610252.

It is a happy number.

252016940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (252016943) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 899921 + ... + 900200.

It is an arithmetic number, because the mean of its divisors is an integer number (25201708).

Almost surely, 2252016940 is an apocalyptic number.

252016940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252016940 is an abundant number, since it is smaller than the sum of its proper divisors (352824052).

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

252016940 is a wasteful number, since it uses less digits than its factorization.

252016940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800137 (or 1800135 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 252016940 is about 15875.0414172688. The cubic root of 252016940 is about 631.6501127728.

The spelling of 252016940 in words is "two hundred fifty-two million, sixteen thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 1800121 3600242 7200484 9000605 12600847 18001210 25201694 36002420 50403388 63004235 126008470 252016940