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253061364 = 223234321323
BaseRepresentation
bin11110001010101…
…10100011110100
3122122011211221010
433011112203310
51004240430424
641035552220
76161662143
oct1705264364
9578154833
10253061364
1111a934826
12708bb670
1340574c6a
142587575a
151733b229
hexf1568f4

253061364 has 48 divisors (see below), whose sum is σ = 630508032. Its totient is φ = 78806112.

The previous prime is 253061357. The next prime is 253061377. The reversal of 253061364 is 463160352.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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, 1207 + ... + 22529.

It is an arithmetic number, because the mean of its divisors is an integer number (13135584).

Almost surely, 2253061364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253061364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315254016).

253061364 is an abundant number, since it is smaller than the sum of its proper divisors (377446668).

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

253061364 is a wasteful number, since it uses less digits than its factorization.

253061364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21396 (or 21394 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 253061364 is about 15907.9025644489. The cubic root of 253061364 is about 632.5214844780.

The spelling of 253061364 in words is "two hundred fifty-three million, sixty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 23 43 46 69 86 92 129 138 172 258 276 516 989 1978 2967 3956 5934 11868 21323 42646 63969 85292 127938 255876 490429 916889 980858 1471287 1833778 1961716 2750667 2942574 3667556 5501334 5885148 11002668 21088447 42176894 63265341 84353788 126530682 253061364