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672349080 = 2335133113903
BaseRepresentation
bin101000000100110…
…011101110011000
31201212010212112210
4220010303232120
52334110132310
6150414435120
722442605254
oct5004635630
91655125483
10672349080
113155838a7
12169202aa0
13a93aa6c0
146541b264
153e05e820
hex28133b98

672349080 has 128 divisors (see below), whose sum is σ = 2242437120. Its totient is φ = 160151040.

The previous prime is 672349061. The next prime is 672349121. The reversal of 672349080 is 80943276.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 41409 + ... + 55311.

It is an arithmetic number, because the mean of its divisors is an integer number (17519040).

Almost surely, 2672349080 is an apocalyptic number.

672349080 is a gapful number since it is divisible by the number (60) 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 672349080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121218560).

672349080 is an abundant number, since it is smaller than the sum of its proper divisors (1570088040).

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

672349080 is a wasteful number, since it uses less digits than its factorization.

672349080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13961 (or 13957 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 672349080 is about 25929.6949461423. The cubic root of 672349080 is about 876.0554686421.

The spelling of 672349080 in words is "six hundred seventy-two million, three hundred forty-nine thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 31 39 40 52 60 62 65 78 93 104 120 124 130 155 156 186 195 248 260 310 312 372 390 403 465 520 620 744 780 806 930 1209 1240 1560 1612 1860 2015 2418 3224 3720 4030 4836 6045 8060 9672 12090 13903 16120 24180 27806 41709 48360 55612 69515 83418 111224 139030 166836 180739 208545 278060 333672 361478 417090 430993 542217 556120 722956 834180 861986 903695 1084434 1292979 1445912 1668360 1723972 1807390 2154965 2168868 2585958 2711085 3447944 3614780 4309930 4337736 5171916 5422170 5602909 6464895 7229560 8619860 10343832 10844340 11205818 12929790 16808727 17239720 21688680 22411636 25859580 28014545 33617454 44823272 51719160 56029090 67234908 84043635 112058180 134469816 168087270 224116360 336174540 672349080