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66874280 = 23511241337
BaseRepresentation
bin1111111100011…
…0101110101000
311122211120021012
43333012232220
5114104434110
610345203052
71441264514
oct377065650
9148746235
1066874280
1134826700
121a490488
1310b15ba5
148c4b144
155d0e905
hex3fc6ba8

66874280 has 96 divisors (see below), whose sum is σ = 169926120. Its totient is φ = 23654400.

The previous prime is 66874273. The next prime is 66874309. The reversal of 66874280 is 8247866.

It can be written as a sum of positive squares in 4 ways, for example, as 28111204 + 38763076 = 5302^2 + 6226^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198272 + ... + 198608.

Almost surely, 266874280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66874280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84963060).

66874280 is an abundant number, since it is smaller than the sum of its proper divisors (103051840).

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

66874280 is a wasteful number, since it uses less digits than its factorization.

66874280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The square root of 66874280 is about 8177.6695946951. The cubic root of 66874280 is about 405.9006122645.

The spelling of 66874280 in words is "sixty-six million, eight hundred seventy-four thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 82 88 110 121 164 205 220 242 328 337 410 440 451 484 605 674 820 902 968 1210 1348 1640 1685 1804 2255 2420 2696 3370 3608 3707 4510 4840 4961 6740 7414 9020 9922 13480 13817 14828 18040 18535 19844 24805 27634 29656 37070 39688 40777 49610 55268 69085 74140 81554 99220 110536 138170 148280 151987 163108 198440 203885 276340 303974 326216 407770 552680 607948 759935 815540 1215896 1519870 1631080 1671857 3039740 3343714 6079480 6687428 8359285 13374856 16718570 33437140 66874280