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253668012 = 223131923612
BaseRepresentation
bin11110001111010…
…10101010101100
3122200022200002120
433013222222230
51004414334022
641100552540
76200066613
oct1707525254
9580280076
10253668012
11120209594
1270b52750
1340728120
142599287a
151740ad5c
hexf1eaaac

253668012 has 144 divisors (see below), whose sum is σ = 711809280. Its totient is φ = 69569280.

The previous prime is 253668011. The next prime is 253668043. The reversal of 253668012 is 210866352.

It is not an unprimeable number, because it can be changed into a prime (253668011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4158462 + ... + 4158522.

It is an arithmetic number, because the mean of its divisors is an integer number (4943120).

Almost surely, 2253668012 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 253668012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355904640).

253668012 is an abundant number, since it is smaller than the sum of its proper divisors (458141268).

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

253668012 is a wasteful number, since it uses less digits than its factorization.

253668012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 253668012 is about 15926.9586550603. The cubic root of 253668012 is about 633.0265157140.

The spelling of 253668012 in words is "two hundred fifty-three million, six hundred sixty-eight thousand, twelve".

Divisors: 1 2 3 4 6 12 13 19 23 26 38 39 46 52 57 61 69 76 78 92 114 122 138 156 183 228 244 247 276 299 366 437 494 598 732 741 793 874 897 988 1159 1196 1311 1403 1482 1586 1748 1794 2318 2379 2622 2806 2964 3172 3477 3588 3721 4209 4636 4758 5244 5612 5681 6954 7442 8418 9516 11163 11362 13908 14884 15067 16836 17043 18239 22326 22724 26657 30134 34086 36478 44652 45201 48373 53314 54717 60268 68172 70699 72956 79971 85583 90402 96746 106628 109434 141398 145119 159942 171166 180804 193492 212097 218868 256749 282796 290238 319884 342332 346541 424194 513498 580476 693082 848388 919087 1026996 1039623 1112579 1386164 1626077 1838174 2079246 2225158 2757261 3252154 3337737 3676348 4158492 4450316 4878231 5514522 6504308 6675474 9756462 11029044 13350948 19512924 21139001 42278002 63417003 84556004 126834006 253668012