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68301675 = 325213191229
BaseRepresentation
bin1000001001000…
…11001101101011
311202112002021200
410010203031223
5114441123200
610435535243
71456361151
oct404431553
9152462250
1068301675
1135611072
121aa5a523
13111c57c0
1490dd3d1
155ee2800
hex412336b

68301675 has 72 divisors (see below), whose sum is σ = 138793200. Its totient is φ = 31829760.

The previous prime is 68301643. The next prime is 68301707. The reversal of 68301675 is 57610386.

68301675 = 3982 + 3992 + ... + 6442.

It is an interprime number because it is at equal distance from previous prime (68301643) and next prime (68301707).

It is not a de Polignac number, because 68301675 - 25 = 68301643 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54961 + ... + 56189.

Almost surely, 268301675 is an apocalyptic number.

68301675 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

68301675 is an abundant number, since it is smaller than the sum of its proper divisors (70491525).

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

68301675 is a wasteful number, since it uses less digits than its factorization.

68301675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 68301675 is about 8264.4827424346. The cubic root of 68301675 is about 408.7682145462.

The spelling of 68301675 in words is "sixty-eight million, three hundred one thousand, six hundred seventy-five".

Divisors: 1 3 5 9 13 15 19 25 39 45 57 65 75 95 117 171 195 225 247 285 325 475 585 741 855 975 1229 1235 1425 2223 2925 3687 3705 4275 6145 6175 11061 11115 15977 18435 18525 23351 30725 47931 55305 55575 70053 79885 92175 116755 143793 210159 239655 276525 303563 350265 399425 583775 718965 910689 1050795 1198275 1517815 1751325 2732067 3594825 4553445 5253975 7589075 13660335 22767225 68301675