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68760972 = 2232729972
BaseRepresentation
bin1000001100100…
…11010110001100
311210101102022200
410012103112030
5120100322342
610453441500
71463313210
oct406232614
9153342280
1068760972
11358a5155
121b040290
1311326887
1491bc940
15608394c
hex419358c

68760972 has 108 divisors (see below), whose sum is σ = 207632880. Its totient is φ = 18772992.

The previous prime is 68760959. The next prime is 68761003. The reversal of 68760972 is 27906786.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 708828 + ... + 708924.

Almost surely, 268760972 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 68760972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103816440).

68760972 is an abundant number, since it is smaller than the sum of its proper divisors (138871908).

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

68760972 is a wasteful number, since it uses less digits than its factorization.

68760972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 68760972 is about 8292.2235859871. The cubic root of 68760972 is about 409.6824270938.

The spelling of 68760972 in words is "sixty-eight million, seven hundred sixty thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 97 116 126 174 194 203 252 261 291 348 388 406 522 582 609 679 812 873 1044 1164 1218 1358 1746 1827 2037 2436 2716 2813 3492 3654 4074 5626 6111 7308 8148 8439 9409 11252 12222 16878 18818 19691 24444 25317 28227 33756 37636 39382 50634 56454 59073 65863 78764 84681 101268 112908 118146 131726 169362 177219 197589 236292 263452 272861 338724 354438 395178 545722 592767 708876 790356 818583 1091444 1185534 1637166 1910027 2371068 2455749 3274332 3820054 4911498 5730081 7640108 9822996 11460162 17190243 22920324 34380486 68760972