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66513480 = 233511411229
BaseRepresentation
bin1111110110111…
…0101001001000
311122011020100020
43331232221020
5114011412410
610333340440
71435232565
oct375565110
9148136306
1066513480
11345aa620
121a337720
1310a1a8b7
148b9586c
155c8ca70
hex3f6ea48

66513480 has 128 divisors (see below), whose sum is σ = 223171200. Its totient is φ = 15718400.

The previous prime is 66513479. The next prime is 66513481. The reversal of 66513480 is 8431566.

It is an interprime number because it is at equal distance from previous prime (66513479) and next prime (66513481).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (66513481) 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, 53506 + ... + 54734.

It is an arithmetic number, because the mean of its divisors is an integer number (1743525).

Almost surely, 266513480 is an apocalyptic number.

66513480 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 66513480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111585600).

66513480 is an abundant number, since it is smaller than the sum of its proper divisors (156657720).

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

66513480 is a wasteful number, since it uses less digits than its factorization.

66513480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 66513480 is about 8155.5796850990. The cubic root of 66513480 is about 405.1693241077.

The spelling of 66513480 in words is "sixty-six million, five hundred thirteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 41 44 55 60 66 82 88 110 120 123 132 164 165 205 220 246 264 328 330 410 440 451 492 615 660 820 902 984 1229 1230 1320 1353 1640 1804 2255 2458 2460 2706 3608 3687 4510 4916 4920 5412 6145 6765 7374 9020 9832 10824 12290 13519 13530 14748 18040 18435 24580 27038 27060 29496 36870 40557 49160 50389 54076 54120 67595 73740 81114 100778 108152 135190 147480 151167 162228 201556 202785 251945 270380 302334 324456 403112 405570 503890 540760 554279 604668 755835 811140 1007780 1108558 1209336 1511670 1622280 1662837 2015560 2217116 2771395 3023340 3325674 4434232 5542790 6046680 6651348 8314185 11085580 13302696 16628370 22171160 33256740 66513480