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68305152 = 2831931151
BaseRepresentation
bin1000001001001…
…00000100000000
311202112021001110
410010210010000
5114441231102
610440003320
71456404246
oct404440400
9152467043
1068305152
1135613743
121aa60540
13111c7266
149100796
155ee386c
hex4124100

68305152 has 144 divisors (see below), whose sum is σ = 198840320. Its totient is φ = 20736000.

The previous prime is 68305129. The next prime is 68305213. The reversal of 68305152 is 25150386.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 452277 + ... + 452427.

Almost surely, 268305152 is an apocalyptic number.

68305152 is a gapful number since it is divisible by the number (62) 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 68305152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99420160).

68305152 is an abundant number, since it is smaller than the sum of its proper divisors (130535168).

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

68305152 is a wasteful number, since it uses less digits than its factorization.

68305152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 68305152 is about 8264.6930977502. The cubic root of 68305152 is about 408.7751507497.

The spelling of 68305152 in words is "sixty-eight million, three hundred five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 64 76 93 96 114 124 128 151 152 186 192 228 248 256 302 304 372 384 453 456 496 589 604 608 744 768 906 912 992 1178 1208 1216 1488 1767 1812 1824 1984 2356 2416 2432 2869 2976 3534 3624 3648 3968 4681 4712 4832 4864 5738 5952 7068 7248 7296 7936 8607 9362 9424 9664 11476 11904 14043 14136 14496 14592 17214 18724 18848 19328 22952 23808 28086 28272 28992 34428 37448 37696 38656 45904 56172 56544 57984 68856 74896 75392 88939 91808 112344 113088 115968 137712 149792 150784 177878 183616 224688 226176 266817 275424 299584 355756 367232 449376 452352 533634 550848 599168 711512 734464 898752 1067268 1101696 1198336 1423024 1797504 2134536 2203392 2846048 3595008 4269072 5692096 8538144 11384192 17076288 22768384 34152576 68305152