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236768064 = 26313293271
BaseRepresentation
bin11100001110011…
…00101101000000
3121111112001201120
432013030231000
5441103034224
635254432240
75603331621
oct1607145500
9544461646
10236768064
11111716395
1267362680
133a08ba60
1423633a48
1515bbd779
hexe1ccb40

236768064 has 112 divisors (see below), whose sum is σ = 698113920. Its totient is φ = 70318080.

The previous prime is 236768053. The next prime is 236768083. The reversal of 236768064 is 460867632.

It is a super-2 number, since 2×2367680642 = 112118232260616192, which contains 22 as substring.

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, 70749 + ... + 74019.

It is an arithmetic number, because the mean of its divisors is an integer number (6233160).

Almost surely, 2236768064 is an apocalyptic number.

236768064 is a gapful number since it is divisible by the number (24) 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 236768064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349056960).

236768064 is an abundant number, since it is smaller than the sum of its proper divisors (461345856).

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

236768064 is a wasteful number, since it uses less digits than its factorization.

236768064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3328 (or 3318 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 236768064 is about 15387.2695433595. The cubic root of 236768064 is about 618.6443358798.

The spelling of 236768064 in words is "two hundred thirty-six million, seven hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 58 64 78 87 96 104 116 156 174 192 208 232 312 348 377 416 464 624 696 754 832 928 1131 1248 1392 1508 1856 2262 2496 2784 3016 3271 4524 5568 6032 6542 9048 9813 12064 13084 18096 19626 24128 26168 36192 39252 42523 52336 72384 78504 85046 94859 104672 127569 157008 170092 189718 209344 255138 284577 314016 340184 379436 510276 569154 628032 680368 758872 1020552 1138308 1233167 1360736 1517744 2041104 2276616 2466334 2721472 3035488 3699501 4082208 4553232 4932668 6070976 7399002 8164416 9106464 9865336 14798004 18212928 19730672 29596008 39461344 59192016 78922688 118384032 236768064