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168166020 = 223511614177
BaseRepresentation
bin10100000011000…
…00001010000100
3102201102201102010
422001200022010
5321022303040
624404214220
74111246641
oct1201401204
9381381363
10168166020
1186a1a690
124839a370
1328abc629
1418496dc8
15eb6be80
hexa060284

168166020 has 96 divisors (see below), whose sum is σ = 522216576. Its totient is φ = 40089600.

The previous prime is 168166013. The next prime is 168166039. The reversal of 168166020 is 20661861.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38172 + ... + 42348.

It is an arithmetic number, because the mean of its divisors is an integer number (5439756).

Almost surely, 2168166020 is an apocalyptic number.

168166020 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 168166020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261108288).

168166020 is an abundant number, since it is smaller than the sum of its proper divisors (354050556).

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

168166020 is a wasteful number, since it uses less digits than its factorization.

168166020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4261 (or 4259 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 168166020 is about 12967.8841759171. The cubic root of 168166020 is about 551.9665359886.

The spelling of 168166020 in words is "one hundred sixty-eight million, one hundred sixty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 61 66 110 122 132 165 183 220 244 305 330 366 610 660 671 732 915 1220 1342 1830 2013 2684 3355 3660 4026 4177 6710 8052 8354 10065 12531 13420 16708 20130 20885 25062 40260 41770 45947 50124 62655 83540 91894 125310 137841 183788 229735 250620 254797 275682 459470 509594 551364 689205 764391 918940 1019188 1273985 1378410 1528782 2547970 2756820 2802767 3057564 3821955 5095940 5605534 7643910 8408301 11211068 14013835 15287820 16816602 28027670 33633204 42041505 56055340 84083010 168166020