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67438020 = 223513312789
BaseRepresentation
bin1000000010100…
…00010111000100
311200220012120110
410001100113010
5114231004040
610405233020
71446133206
oct401202704
9150805513
1067438020
1135081201
121a702770
1310c82670
148d56776
155dc1980
hex40505c4

67438020 has 96 divisors (see below), whose sum is σ = 209986560. Its totient is φ = 16058880.

The previous prime is 67437991. The next prime is 67438037. The reversal of 67438020 is 2083476.

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

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, 22786 + ... + 25574.

It is an arithmetic number, because the mean of its divisors is an integer number (2187360).

Almost surely, 267438020 is an apocalyptic number.

67438020 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 67438020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104993280).

67438020 is an abundant number, since it is smaller than the sum of its proper divisors (142548540).

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

67438020 is a wasteful number, since it uses less digits than its factorization.

67438020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2845 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 67438020 is about 8212.0655136208. The cubic root of 67438020 is about 407.0379823974.

The spelling of 67438020 in words is "sixty-seven million, four hundred thirty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 31 39 52 60 62 65 78 93 124 130 155 156 186 195 260 310 372 390 403 465 620 780 806 930 1209 1612 1860 2015 2418 2789 4030 4836 5578 6045 8060 8367 11156 12090 13945 16734 24180 27890 33468 36257 41835 55780 72514 83670 86459 108771 145028 167340 172918 181285 217542 259377 345836 362570 432295 435084 518754 543855 725140 864590 1037508 1087710 1123967 1296885 1729180 2175420 2247934 2593770 3371901 4495868 5187540 5619835 6743802 11239670 13487604 16859505 22479340 33719010 67438020