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66605056 = 212723101
BaseRepresentation
bin1111111000010…
…1000000000000
311122022212221221
43332011000000
5114022330211
610335324424
71436063560
oct376050000
9148285857
1066605056
1134662401
121a380714
1310a5049b
148bbada0
155ca9c71
hex3f85000

66605056 has 104 divisors (see below), whose sum is σ = 160412544. Its totient is φ = 27033600.

The previous prime is 66605027. The next prime is 66605057. The reversal of 66605056 is 65050666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66605057) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 659406 + ... + 659506.

Almost surely, 266605056 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 66605056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80206272).

66605056 is an abundant number, since it is smaller than the sum of its proper divisors (93807488).

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

66605056 is a wasteful number, since it uses less digits than its factorization.

66605056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The square root of 66605056 is about 8161.1920697898. The cubic root of 66605056 is about 405.3551850331.

The spelling of 66605056 in words is "sixty-six million, six hundred five thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 101 112 128 161 184 202 224 256 322 368 404 448 512 644 707 736 808 896 1024 1288 1414 1472 1616 1792 2048 2323 2576 2828 2944 3232 3584 4096 4646 5152 5656 5888 6464 7168 9292 10304 11312 11776 12928 14336 16261 18584 20608 22624 23552 25856 28672 32522 37168 41216 45248 47104 51712 65044 74336 82432 90496 94208 103424 130088 148672 164864 180992 206848 260176 297344 329728 361984 413696 520352 594688 659456 723968 1040704 1189376 1447936 2081408 2378752 2895872 4162816 4757504 8325632 9515008 16651264 33302528 66605056