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166602042 = 23329191557
BaseRepresentation
bin10011110111000…
…10010100111010
3102121111021001000
421323202110322
5320122231132
624310505430
74062044145
oct1173422472
9377437030
10166602042
1186051642
1247965276
13286927b9
14181ab05c
15e95d87c
hex9ee253a

166602042 has 64 divisors (see below), whose sum is σ = 385689600. Its totient is φ = 53242560.

The previous prime is 166601971. The next prime is 166602047. The reversal of 166602042 is 240206661.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 166601997 and 166602015.

It is not an unprimeable number, because it can be changed into a prime (166602047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298828 + ... + 299384.

It is an arithmetic number, because the mean of its divisors is an integer number (6026400).

Almost surely, 2166602042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166602042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192844800).

166602042 is an abundant number, since it is smaller than the sum of its proper divisors (219087558).

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

166602042 is a wasteful number, since it uses less digits than its factorization.

166602042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 166602042 is about 12907.4413421096. The cubic root of 166602042 is about 550.2500703045.

The spelling of 166602042 in words is "one hundred sixty-six million, six hundred two thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 191 261 382 522 557 573 783 1114 1146 1566 1671 1719 3342 3438 5013 5157 5539 10026 10314 11078 15039 16153 16617 30078 32306 33234 48459 49851 96918 99702 106387 145377 149553 212774 290754 299106 319161 436131 638322 872262 957483 1914966 2872449 3085223 5744898 6170446 9255669 18511338 27767007 55534014 83301021 166602042