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68931540 = 223351071193
BaseRepresentation
bin1000001101111…
…00111111010100
311210201002022000
410012330333110
5120121302130
610501235300
71464623406
oct406747724
9153632260
1068931540
1135a01317
121b102b30
13113863c2
149224b76
1560b9260
hex41bcfd4

68931540 has 96 divisors (see below), whose sum is σ = 216639360. Its totient is φ = 18194688.

The previous prime is 68931539. The next prime is 68931547. The reversal of 68931540 is 4513986.

68931540 is a `hidden beast` number, since 6 + 89 + 31 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 68931495 and 68931504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68931547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57184 + ... + 58376.

It is an arithmetic number, because the mean of its divisors is an integer number (2256660).

Almost surely, 268931540 is an apocalyptic number.

68931540 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 68931540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108319680).

68931540 is an abundant number, since it is smaller than the sum of its proper divisors (147707820).

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

68931540 is a wasteful number, since it uses less digits than its factorization.

68931540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 68931540 is about 8302.5020325201. The cubic root of 68931540 is about 410.0208991925.

The spelling of 68931540 in words is "sixty-eight million, nine hundred thirty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 107 108 135 180 214 270 321 428 535 540 642 963 1070 1193 1284 1605 1926 2140 2386 2889 3210 3579 3852 4772 4815 5778 5965 6420 7158 9630 10737 11556 11930 14316 14445 17895 19260 21474 23860 28890 32211 35790 42948 53685 57780 64422 71580 107370 127651 128844 161055 214740 255302 322110 382953 510604 638255 644220 765906 1148859 1276510 1531812 1914765 2297718 2553020 3446577 3829530 4595436 5744295 6893154 7659060 11488590 13786308 17232885 22977180 34465770 68931540