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68180970 = 235111323691
BaseRepresentation
bin1000001000001…
…01101111101010
311202021221201010
410010011233222
5114423242340
610433204350
71455346224
oct404055752
9152257633
1068180970
1135539410
121aa006b6
1311182890
1490ab414
155ebbb80
hex4105bea

68180970 has 128 divisors (see below), whose sum is σ = 200890368. Its totient is φ = 14572800.

The previous prime is 68180969. The next prime is 68181007. The reversal of 68180970 is 7908186.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98325 + ... + 99015.

It is an arithmetic number, because the mean of its divisors is an integer number (1569456).

Almost surely, 268180970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68180970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100445184).

68180970 is an abundant number, since it is smaller than the sum of its proper divisors (132709398).

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

68180970 is a wasteful number, since it uses less digits than its factorization.

68180970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748.

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 68180970 is about 8257.1768783283. The cubic root of 68180970 is about 408.5272762811.

The spelling of 68180970 in words is "sixty-eight million, one hundred eighty thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 11 13 15 22 23 26 30 33 39 46 55 65 66 69 78 110 115 130 138 143 165 195 230 253 286 299 330 345 390 429 506 598 690 691 715 759 858 897 1265 1382 1430 1495 1518 1794 2073 2145 2530 2990 3289 3455 3795 4146 4290 4485 6578 6910 7590 7601 8970 8983 9867 10365 15202 15893 16445 17966 19734 20730 22803 26949 31786 32890 38005 44915 45606 47679 49335 53898 76010 79465 89830 95358 98670 98813 114015 134745 158930 174823 197626 206609 228030 238395 269490 296439 349646 413218 476790 494065 524469 592878 619827 874115 988130 1033045 1048938 1239654 1482195 1748230 2066090 2272699 2622345 2964390 3099135 4545398 5244690 6198270 6818097 11363495 13636194 22726990 34090485 68180970