Search a number
-
+
68660319 = 37213193161
BaseRepresentation
bin1000001011110…
…10110001011111
311210012022020210
410011322301133
5120034112234
610451343503
71462413600
oct405726137
9153168223
1068660319
1135836572
121abb1b93
13112bcb10
149193da7
156063be9
hex417ac5f

68660319 has 96 divisors (see below), whose sum is σ = 126658560. Its totient is φ = 32659200.

The previous prime is 68660303. The next prime is 68660321. The reversal of 68660319 is 91306686.

It is a happy number.

It is not a de Polignac number, because 68660319 - 24 = 68660303 is a prime.

It is a super-2 number, since 2×686603192 = 9428478810363522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68660219) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1125549 + ... + 1125609.

It is an arithmetic number, because the mean of its divisors is an integer number (1319360).

Almost surely, 268660319 is an apocalyptic number.

68660319 is a deficient number, since it is larger than the sum of its proper divisors (57998241).

68660319 is a wasteful number, since it uses less digits than its factorization.

68660319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 68660319 is about 8286.1522433516. The cubic root of 68660319 is about 409.4824303953.

The spelling of 68660319 in words is "sixty-eight million, six hundred sixty thousand, three hundred nineteen".

Divisors: 1 3 7 13 19 21 31 39 49 57 61 91 93 133 147 183 217 247 273 399 403 427 589 637 651 741 793 931 1159 1209 1281 1519 1729 1767 1891 1911 2379 2793 2821 2989 3477 4123 4557 5187 5551 5673 7657 8113 8463 8967 12103 12369 13237 15067 16653 19747 22971 24339 24583 28861 35929 36309 38857 39711 45201 53599 56791 59241 73749 86583 92659 105469 107787 116571 160797 170373 172081 251503 277977 316407 375193 467077 516243 738283 754509 1125579 1204567 1401231 1760521 2214849 3269539 3613701 5281563 9808617 22886773 68660319