Search a number
-
+
68093976 = 23317475367
BaseRepresentation
bin1000000111100…
…00100000011000
311202010112101010
410003300200120
5114413001401
610431253520
71454534466
oct403604030
9152115333
1068093976
113548a015
121a97a2a0
13111520c2
149087836
155ea0ed6
hex40f0818

68093976 has 128 divisors (see below), whose sum is σ = 190356480. Its totient is φ = 20207616.

The previous prime is 68093951. The next prime is 68094031. The reversal of 68093976 is 67939086.

It is a happy number.

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, 1016295 + ... + 1016361.

It is an arithmetic number, because the mean of its divisors is an integer number (1487160).

Almost surely, 268093976 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 68093976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95178240).

68093976 is an abundant number, since it is smaller than the sum of its proper divisors (122262504).

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

68093976 is a wasteful number, since it uses less digits than its factorization.

68093976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 68093976 is about 8251.9074158645. The cubic root of 68093976 is about 408.3534518849.

The spelling of 68093976 in words is "sixty-eight million, ninety-three thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 47 51 53 67 68 94 102 106 134 136 141 159 188 201 204 212 268 282 318 376 402 408 424 536 564 636 799 804 901 1128 1139 1272 1598 1608 1802 2278 2397 2491 2703 3149 3196 3417 3551 3604 4556 4794 4982 5406 6298 6392 6834 7102 7208 7473 9112 9447 9588 9964 10653 10812 12596 13668 14204 14946 18894 19176 19928 21306 21624 25192 27336 28408 29892 37788 42347 42612 53533 59784 60367 75576 84694 85224 107066 120734 127041 160599 166897 169388 181101 214132 241468 254082 321198 333794 338776 362202 428264 482936 500691 508164 642396 667588 724404 1001382 1016328 1284792 1335176 1448808 2002764 2837249 4005528 5674498 8511747 11348996 17023494 22697992 34046988 68093976