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6657066 = 2341329109
BaseRepresentation
bin11001011001010000101010
3110112012210000
4121121100222
53201011231
6354403430
7110404233
oct31312052
913465700
106657066
113837609
122290576
1314c10c0
14c5408a
158b76e6
hex65942a

6657066 has 80 divisors (see below), whose sum is σ = 16770600. Its totient is φ = 1959552.

The previous prime is 6657061. The next prime is 6657067. The reversal of 6657066 is 6607566.

It can be written as a sum of positive squares in 4 ways, for example, as 5267025 + 1390041 = 2295^2 + 1179^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6657066.

It is not an unprimeable number, because it can be changed into a prime (6657061) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 61020 + ... + 61128.

Almost surely, 26657066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6657066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8385300).

6657066 is an abundant number, since it is smaller than the sum of its proper divisors (10113534).

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

6657066 is a wasteful number, since it uses less digits than its factorization.

6657066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 6657066 is about 2580.1290665391. The cubic root of 6657066 is about 188.1168166402.

The spelling of 6657066 in words is "six million, six hundred fifty-seven thousand, sixty-six".

Divisors: 1 2 3 6 9 13 18 26 27 29 39 54 58 78 81 87 109 117 162 174 218 234 261 327 351 377 522 654 702 754 783 981 1053 1131 1417 1566 1962 2106 2262 2349 2834 2943 3161 3393 4251 4698 5886 6322 6786 8502 8829 9483 10179 12753 17658 18966 20358 25506 28449 30537 38259 41093 56898 61074 76518 82186 85347 114777 123279 170694 229554 246558 256041 369837 512082 739674 1109511 2219022 3328533 6657066