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66246960 = 243513171249
BaseRepresentation
bin1111110010110…
…1100100110000
311121122200202010
43330231210300
5113424400320
610323522520
71433042553
oct374554460
9147580663
1066246960
113443835a
121a229440
13109564b0
148b2669a
155c38ae0
hex3f2d930

66246960 has 160 divisors (see below), whose sum is σ = 234360000. Its totient is φ = 15335424.

The previous prime is 66246941. The next prime is 66246997. The reversal of 66246960 is 6964266.

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 31 ways as a sum of consecutive naturals, for example, 52416 + ... + 53664.

It is an arithmetic number, because the mean of its divisors is an integer number (1464750).

Almost surely, 266246960 is an apocalyptic number.

66246960 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 66246960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117180000).

66246960 is an abundant number, since it is smaller than the sum of its proper divisors (168113040).

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

66246960 is a wasteful number, since it uses less digits than its factorization.

66246960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 66246960 is about 8139.2235501920. The cubic root of 66246960 is about 404.6274275207.

The spelling of 66246960 in words is "sixty-six million, two hundred forty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 26 30 34 39 40 48 51 52 60 65 68 78 80 85 102 104 120 130 136 156 170 195 204 208 221 240 255 260 272 312 340 390 408 442 510 520 624 663 680 780 816 884 1020 1040 1105 1249 1326 1360 1560 1768 2040 2210 2498 2652 3120 3315 3536 3747 4080 4420 4996 5304 6245 6630 7494 8840 9992 10608 12490 13260 14988 16237 17680 18735 19984 21233 24980 26520 29976 32474 37470 42466 48711 49960 53040 59952 63699 64948 74940 81185 84932 97422 99920 106165 127398 129896 149880 162370 169864 194844 212330 243555 254796 259792 276029 299760 318495 324740 339728 389688 424660 487110 509592 552058 636990 649480 779376 828087 849320 974220 1019184 1104116 1273980 1298960 1380145 1656174 1698640 1948440 2208232 2547960 2760290 3312348 3896880 4140435 4416464 5095920 5520580 6624696 8280870 11041160 13249392 16561740 22082320 33123480 66246960