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64968660 = 2232561297
BaseRepresentation
bin1111011111010…
…1011111010100
311112020202020200
43313311133110
5113112444120
610240300500
71416140001
oct367653724
9145222220
1064968660
1133744a09
1219911730
13105c96c3
1488b28a8
155a84e90
hex3df57d4

64968660 has 108 divisors (see below), whose sum is σ = 202420764. Its totient is φ = 16865280.

The previous prime is 64968647. The next prime is 64968661. The reversal of 64968660 is 6686946.

It can be written as a sum of positive squares in 6 ways, for example, as 26998416 + 37970244 = 5196^2 + 6162^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64968661) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 669732 + ... + 669828.

Almost surely, 264968660 is an apocalyptic number.

64968660 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 64968660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101210382).

64968660 is an abundant number, since it is smaller than the sum of its proper divisors (137452104).

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

64968660 is a wasteful number, since it uses less digits than its factorization.

64968660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 64968660 is about 8060.3138896696. The cubic root of 64968660 is about 402.0079451909.

The spelling of 64968660 in words is "sixty-four million, nine hundred sixty-eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 97 122 180 183 194 244 291 305 366 388 485 549 582 610 732 873 915 970 1098 1164 1220 1455 1746 1830 1940 2196 2745 2910 3492 3660 3721 4365 5490 5820 5917 7442 8730 10980 11163 11834 14884 17460 17751 18605 22326 23668 29585 33489 35502 37210 44652 53253 55815 59170 66978 71004 74420 88755 106506 111630 118340 133956 167445 177510 213012 223260 266265 334890 355020 360937 532530 669780 721874 1065060 1082811 1443748 1804685 2165622 3248433 3609370 4331244 5414055 6496866 7218740 10828110 12993732 16242165 21656220 32484330 64968660