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664167020 = 2251137139587
BaseRepresentation
bin100111100101100…
…110001001101100
31201021202011212112
4213211212021230
52330011321040
6145523223152
722313216666
oct4745461154
91637664775
10664167020
113109a5570
12166517ab8
13a77a444a
14642cb536
153d495365
hex2796626c

664167020 has 96 divisors (see below), whose sum is σ = 1576592640. Its totient is φ = 232899840.

The previous prime is 664167013. The next prime is 664167037. The reversal of 664167020 is 20761466.

664167020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6641670202 = 882235660911360800, which contains 22 as substring.

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, 1131167 + ... + 1131753.

It is an arithmetic number, because the mean of its divisors is an integer number (16422840).

Almost surely, 2664167020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664167020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788296320).

664167020 is an abundant number, since it is smaller than the sum of its proper divisors (912425620).

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

664167020 is a wasteful number, since it uses less digits than its factorization.

664167020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 664167020 is about 25771.4380662003. The cubic root of 664167020 is about 872.4872760546.

The spelling of 664167020 in words is "six hundred sixty-four million, one hundred sixty-seven thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 139 148 185 220 278 370 407 556 587 695 740 814 1174 1390 1529 1628 2035 2348 2780 2935 3058 4070 5143 5870 6116 6457 7645 8140 10286 11740 12914 15290 20572 21719 25715 25828 30580 32285 43438 51430 56573 64570 81593 86876 102860 108595 113146 129140 163186 217190 226292 238909 282865 326372 407965 434380 477818 565730 815930 897523 955636 1131460 1194545 1631860 1795046 2389090 3018941 3590092 4487615 4778180 6037882 8975230 12075764 15094705 17950460 30189410 33208351 60378820 66416702 132833404 166041755 332083510 664167020