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164177020 = 225710691097
BaseRepresentation
bin10011100100100…
…10010001111100
3102102221001112101
421302102101330
5314012131040
624142514444
74032324130
oct1162222174
9372831471
10164177020
1184745697
1246b95a24
1328023a87
1417b393c0
15e63009a
hex9c9247c

164177020 has 48 divisors (see below), whose sum is σ = 394752960. Its totient is φ = 56185344.

The previous prime is 164177017. The next prime is 164177021. The reversal of 164177020 is 20771461.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 164177020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164177021) 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 15 ways as a sum of consecutive naturals, for example, 149112 + ... + 150208.

It is an arithmetic number, because the mean of its divisors is an integer number (8224020).

Almost surely, 2164177020 is an apocalyptic number.

164177020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164177020 is an abundant number, since it is smaller than the sum of its proper divisors (230575940).

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

164177020 is a wasteful number, since it uses less digits than its factorization.

164177020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 164177020 is about 12813.1580806607. The cubic root of 164177020 is about 547.5672387413.

The spelling of 164177020 in words is "one hundred sixty-four million, one hundred seventy-seven thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 1069 1097 2138 2194 4276 4388 5345 5485 7483 7679 10690 10970 14966 15358 21380 21940 29932 30716 37415 38395 74830 76790 149660 153580 1172693 2345386 4690772 5863465 8208851 11726930 16417702 23453860 32835404 41044255 82088510 164177020