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80020164 = 223729107307
BaseRepresentation
bin1001100010100…
…00001011000100
312120120110000210
410301100023010
5130441121124
611535035420
71661105640
oct461201304
9176513023
1080020164
1141195374
122296bb70
1313769613
14a8adc20
157059a29
hex4c502c4

80020164 has 96 divisors (see below), whose sum is σ = 223534080. Its totient is φ = 21796992.

The previous prime is 80020147. The next prime is 80020183. The reversal of 80020164 is 46102008.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 80020164.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260499 + ... + 260805.

It is an arithmetic number, because the mean of its divisors is an integer number (2328480).

Almost surely, 280020164 is an apocalyptic number.

80020164 is a gapful number since it is divisible by the number (84) 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 80020164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111767040).

80020164 is an abundant number, since it is smaller than the sum of its proper divisors (143513916).

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

80020164 is a wasteful number, since it uses less digits than its factorization.

80020164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 80020164 is about 8945.3990408478. The cubic root of 80020164 is about 430.9231366495.

The spelling of 80020164 in words is "eighty million, twenty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 107 116 174 203 214 307 321 348 406 428 609 614 642 749 812 921 1218 1228 1284 1498 1842 2149 2247 2436 2996 3103 3684 4298 4494 6206 6447 8596 8903 8988 9309 12412 12894 17806 18618 21721 25788 26709 32849 35612 37236 43442 53418 62321 65163 65698 86884 98547 106836 124642 130326 131396 186963 197094 229943 249284 260652 373926 394188 459886 689829 747852 919772 952621 1379658 1905242 2759316 2857863 3810484 5715726 6668347 11431452 13336694 20005041 26673388 40010082 80020164