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166652020 = 2251723101211
BaseRepresentation
bin10011110111011…
…10100001110100
3102121120210121001
421323232201310
5320130331040
624311533044
74062342643
oct1173564164
9377523531
10166652020
1186086147
124798a184
13286ac482
14181c135a
15e96d59a
hex9eee874

166652020 has 96 divisors (see below), whose sum is σ = 392345856. Its totient is φ = 59136000.

The previous prime is 166651999. The next prime is 166652023. The reversal of 166652020 is 20256661.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 166652020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166652023) 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, 789715 + ... + 789925.

It is an arithmetic number, because the mean of its divisors is an integer number (4086936).

Almost surely, 2166652020 is an apocalyptic number.

166652020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166652020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196172928).

166652020 is an abundant number, since it is smaller than the sum of its proper divisors (225693836).

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

166652020 is a wasteful number, since it uses less digits than its factorization.

166652020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 166652020 is about 12909.3772119340. The cubic root of 166652020 is about 550.3050869343.

The spelling of 166652020 in words is "one hundred sixty-six million, six hundred fifty-two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 101 115 170 202 211 230 340 391 404 422 460 505 782 844 1010 1055 1564 1717 1955 2020 2110 2323 3434 3587 3910 4220 4646 4853 6868 7174 7820 8585 9292 9706 11615 14348 17170 17935 19412 21311 23230 24265 34340 35870 39491 42622 46460 48530 71740 78982 82501 85244 97060 106555 157964 165002 197455 213110 330004 362287 394910 412505 426220 490153 724574 789820 825010 980306 1449148 1650020 1811435 1960612 2450765 3622870 4901530 7245740 8332601 9803060 16665202 33330404 41663005 83326010 166652020