Search a number
-
+
66676104 = 233211292903
BaseRepresentation
bin1111111001011…
…0010110001000
311122110111102100
43332112112020
5114032113404
610341033400
71436510655
oct376262610
9148414370
1066676104
1134700820
121a3b5860
1310a76921
148bd8c2c
155cc0d39
hex3f96588

66676104 has 96 divisors (see below), whose sum is σ = 203860800. Its totient is φ = 19501440.

The previous prime is 66676097. The next prime is 66676121. The reversal of 66676104 is 40167666.

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

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, 21517 + ... + 24419.

It is an arithmetic number, because the mean of its divisors is an integer number (2123550).

Almost surely, 266676104 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 66676104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101930400).

66676104 is an abundant number, since it is smaller than the sum of its proper divisors (137184696).

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

66676104 is a wasteful number, since it uses less digits than its factorization.

66676104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2955 (or 2948 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 66676104 is about 8165.5437051062. The cubic root of 66676104 is about 405.4992653913.

The spelling of 66676104 in words is "sixty-six million, six hundred seventy-six thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 29 33 36 44 58 66 72 87 88 99 116 132 174 198 232 261 264 319 348 396 522 638 696 792 957 1044 1276 1914 2088 2552 2871 2903 3828 5742 5806 7656 8709 11484 11612 17418 22968 23224 26127 31933 34836 52254 63866 69672 84187 95799 104508 127732 168374 191598 209016 252561 255464 287397 336748 383196 505122 574794 673496 757683 766392 926057 1010244 1149588 1515366 1852114 2020488 2299176 2778171 3030732 3704228 5556342 6061464 7408456 8334513 11112684 16669026 22225368 33338052 66676104