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68976360 = 2334561349
BaseRepresentation
bin1000001110001…
…11111011101000
311210210100210000
410013013323220
5120124220420
610502223000
71465201155
oct407077350
9153710700
1068976360
1135a31a62
121b124a60
13113a091b
14923722c
1560c7690
hex41c7ee8

68976360 has 160 divisors (see below), whose sum is σ = 236313000. Its totient is φ = 18040320.

The previous prime is 68976337. The next prime is 68976371. The reversal of 68976360 is 6367986.

68976360 is a `hidden beast` number, since 6 + 8 + 9 + 7 + 636 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44116164 + 24860196 = 6642^2 + 4986^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 197466 + ... + 197814.

Almost surely, 268976360 is an apocalyptic number.

68976360 is a gapful number since it is divisible by the number (60) 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 68976360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118156500).

68976360 is an abundant number, since it is smaller than the sum of its proper divisors (167336640).

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

68976360 is a wasteful number, since it uses less digits than its factorization.

68976360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 68976360 is about 8305.2007802340. The cubic root of 68976360 is about 410.1097465481.

The spelling of 68976360 in words is "sixty-eight million, nine hundred seventy-six thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 61 72 81 90 108 120 122 135 162 180 183 216 244 270 305 324 349 360 366 405 488 540 549 610 648 698 732 810 915 1047 1080 1098 1220 1396 1464 1620 1647 1745 1830 2094 2196 2440 2745 2792 3141 3240 3294 3490 3660 4188 4392 4941 5235 5490 6282 6588 6980 7320 8235 8376 9423 9882 10470 10980 12564 13176 13960 15705 16470 18846 19764 20940 21289 21960 24705 25128 28269 31410 32940 37692 39528 41880 42578 47115 49410 56538 62820 63867 65880 75384 85156 94230 98820 106445 113076 125640 127734 141345 170312 188460 191601 197640 212890 226152 255468 282690 319335 376920 383202 425780 510936 565380 574803 638670 766404 851560 958005 1130760 1149606 1277340 1532808 1724409 1916010 2299212 2554680 2874015 3448818 3832020 4598424 5748030 6897636 7664040 8622045 11496060 13795272 17244090 22992120 34488180 68976360