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66674112 = 263677173
BaseRepresentation
bin1111111001010…
…1110111000000
311122110101200120
43332111313000
5114032032422
610341020240
71436502111
oct376256700
9148411616
1066674112
11346aa27a
121a3b4680
1310a75a4b
148bd8208
155cc045c
hex3f95dc0

66674112 has 112 divisors (see below), whose sum is σ = 184050432. Its totient is φ = 21288960.

The previous prime is 66674107. The next prime is 66674117. The reversal of 66674112 is 21147666.

It is an interprime number because it is at equal distance from previous prime (66674107) and next prime (66674117).

Its product of digits (12096) is a multiple of the sum of its prime divisors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66674117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 913308 + ... + 913380.

Almost surely, 266674112 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 66674112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92025216).

66674112 is an abundant number, since it is smaller than the sum of its proper divisors (117376320).

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

66674112 is a wasteful number, since it uses less digits than its factorization.

66674112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 216 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 66674112 is about 8165.4217282391. The cubic root of 66674112 is about 405.4952271501.

The spelling of 66674112 in words is "sixty-six million, six hundred seventy-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 71 73 96 134 142 146 192 201 213 219 268 284 292 402 426 438 536 568 584 804 852 876 1072 1136 1168 1608 1704 1752 2144 2272 2336 3216 3408 3504 4288 4544 4672 4757 4891 5183 6432 6816 7008 9514 9782 10366 12864 13632 14016 14271 14673 15549 19028 19564 20732 28542 29346 31098 38056 39128 41464 57084 58692 62196 76112 78256 82928 114168 117384 124392 152224 156512 165856 228336 234768 248784 304448 313024 331712 347261 456672 469536 497568 694522 913344 939072 995136 1041783 1389044 2083566 2778088 4167132 5556176 8334264 11112352 16668528 22224704 33337056 66674112