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253968630 = 235191133943
BaseRepresentation
bin11110010001101…
…00000011110110
3122200212221110120
433020310003312
51010003444010
641111232410
76202461216
oct1710640366
9580787416
10253968630
111203a4433
1271078706
1340801bc6
1425a30246
1517469e70
hexf2340f6

253968630 has 64 divisors (see below), whose sum is σ = 647447040. Its totient is φ = 63576576.

The previous prime is 253968619. The next prime is 253968667. The reversal of 253968630 is 36869352.

253968630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62439 + ... + 66381.

It is an arithmetic number, because the mean of its divisors is an integer number (10116360).

Almost surely, 2253968630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253968630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323723520).

253968630 is an abundant number, since it is smaller than the sum of its proper divisors (393478410).

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

253968630 is a wasteful number, since it uses less digits than its factorization.

253968630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4085.

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 253968630 is about 15936.3932556899. The cubic root of 253968630 is about 633.2764802767.

The spelling of 253968630 in words is "two hundred fifty-three million, nine hundred sixty-eight thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 113 114 190 226 285 339 565 570 678 1130 1695 2147 3390 3943 4294 6441 7886 10735 11829 12882 19715 21470 23658 32205 39430 59145 64410 74917 118290 149834 224751 374585 445559 449502 749170 891118 1123755 1336677 2227795 2247510 2673354 4455590 6683385 8465621 13366770 16931242 25396863 42328105 50793726 84656210 126984315 253968630