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66875004 = 22337212637
BaseRepresentation
bin1111111100011…
…0111001111100
311122211121021000
43333012321330
5114110000004
610345210300
71441266600
oct377067174
9148747230
1066875004
11348271a9
121a490990
1310b16311
148c4b500
155d0ec39
hex3fc6e7c

66875004 has 72 divisors (see below), whose sum is σ = 201702480. Its totient is φ = 19105632.

The previous prime is 66874993. The next prime is 66875023. The reversal of 66875004 is 40057866.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 66875004.

It is a congruent number.

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, 1027 + ... + 11610.

Almost surely, 266875004 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 66875004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100851240).

66875004 is an abundant number, since it is smaller than the sum of its proper divisors (134827476).

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

66875004 is a wasteful number, since it uses less digits than its factorization.

66875004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12664 (or 12649 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 66875004 is about 8177.7138614652. The cubic root of 66875004 is about 405.9020770577.

The spelling of 66875004 in words is "sixty-six million, eight hundred seventy-five thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 5292 12637 25274 37911 50548 75822 88459 113733 151644 176918 227466 265377 341199 353836 454932 530754 619213 682398 796131 1061508 1238426 1364796 1592262 1857639 2388393 2476852 3184524 3715278 4776786 5572917 7430556 9553572 11145834 16718751 22291668 33437502 66875004