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166240064 = 2629432083
BaseRepresentation
bin10011110100010…
…01111101000000
3102120210212111102
421322021331000
5320024140224
624255033532
74056005624
oct1172117500
9376725442
10166240064
1185924691
124780b8a8
1328596b03
1418115184
15e8db4ae
hex9e89f40

166240064 has 56 divisors (see below), whose sum is σ = 349361760. Its totient is φ = 78349824.

The previous prime is 166240051. The next prime is 166240069. The reversal of 166240064 is 460042661.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166240069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78767 + ... + 80849.

Almost surely, 2166240064 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 166240064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174680880).

166240064 is an abundant number, since it is smaller than the sum of its proper divisors (183121696).

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

166240064 is a wasteful number, since it uses less digits than its factorization.

166240064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 166240064 is about 12893.4116509169. The cubic root of 166240064 is about 549.8512699772.

The spelling of 166240064 in words is "one hundred sixty-six million, two hundred forty thousand, sixty-four".

Divisors: 1 2 4 8 16 29 32 43 58 64 86 116 172 232 344 464 688 928 1247 1376 1856 2083 2494 2752 4166 4988 8332 9976 16664 19952 33328 39904 60407 66656 79808 89569 120814 133312 179138 241628 358276 483256 716552 966512 1433104 1933024 2597501 2866208 3866048 5195002 5732416 10390004 20780008 41560016 83120032 166240064