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66064440 = 23351342349
BaseRepresentation
bin1111110000000…
…1000000111000
311121022102101010
43330001000320
5113403030230
610315553520
71431352461
oct374010070
9147272333
1066064440
1134323212
121a15b8a0
13108c13b0
148ab9d68
155bee9b0
hex3f01038

66064440 has 64 divisors (see below), whose sum is σ = 213444000. Its totient is φ = 16261632.

The previous prime is 66064429. The next prime is 66064451. The reversal of 66064440 is 4446066.

66064440 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (66064429) and next prime (66064451).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 66064398 and 66064407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19615 + ... + 22734.

Almost surely, 266064440 is an apocalyptic number.

66064440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66064440 is an abundant number, since it is smaller than the sum of its proper divisors (147379560).

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

66064440 is a wasteful number, since it uses less digits than its factorization.

66064440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42376 (or 42372 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 66064440 is about 8128.0034448812. The cubic root of 66064440 is about 404.2554832737.

The spelling of 66064440 in words is "sixty-six million, sixty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 42349 84698 127047 169396 211745 254094 338792 423490 508188 550537 635235 846980 1016376 1101074 1270470 1651611 1693960 2202148 2540940 2752685 3303222 4404296 5081880 5505370 6606444 8258055 11010740 13212888 16516110 22021480 33032220 66064440