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66213960 = 23352953359
BaseRepresentation
bin1111110010010…
…1100001001000
311121121000110220
43330211201020
5113422321320
610323110040
71432544421
oct374454110
9147530426
1066213960
113441558a
121a212320
1310944477
148b18648
155c2de40
hex3f25848

66213960 has 128 divisors (see below), whose sum is σ = 209952000. Its totient is φ = 16679936.

The previous prime is 66213943. The next prime is 66213967. The reversal of 66213960 is 6931266.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (66213967) 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, 184261 + ... + 184619.

It is an arithmetic number, because the mean of its divisors is an integer number (1640250).

Almost surely, 266213960 is an apocalyptic number.

66213960 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 66213960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104976000).

66213960 is an abundant number, since it is smaller than the sum of its proper divisors (143738040).

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

66213960 is a wasteful number, since it uses less digits than its factorization.

66213960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 66213960 is about 8137.1960772738. The cubic root of 66213960 is about 404.5602298567.

The spelling of 66213960 in words is "sixty-six million, two hundred thirteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 53 58 60 87 106 116 120 145 159 174 212 232 265 290 318 348 359 424 435 530 580 636 696 718 795 870 1060 1077 1160 1272 1436 1537 1590 1740 1795 2120 2154 2872 3074 3180 3480 3590 4308 4611 5385 6148 6360 7180 7685 8616 9222 10411 10770 12296 14360 15370 18444 19027 20822 21540 23055 30740 31233 36888 38054 41644 43080 46110 52055 57081 61480 62466 76108 83288 92220 95135 104110 114162 124932 152216 156165 184440 190270 208220 228324 249864 285405 312330 380540 416440 456648 551783 570810 624660 761080 1103566 1141620 1249320 1655349 2207132 2283240 2758915 3310698 4414264 5517830 6621396 8276745 11035660 13242792 16553490 22071320 33106980 66213960