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664961220 = 2232571147977
BaseRepresentation
bin100111101000101…
…000000011000100
31201100020112022100
4213220220003010
52330212224340
6145552232100
722323035310
oct4750500304
91640215270
10664961220
11311398230
1216683b630
13a79c1aa1
1464456b40
153d5a0830
hex27a280c4

664961220 has 144 divisors (see below), whose sum is σ = 2514814848. Its totient is φ = 138170880.

The previous prime is 664961207. The next prime is 664961233. The reversal of 664961220 is 22169466.

664961220 is a `hidden beast` number, since 6 + 649 + 6 + 1 + 2 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (664961207) and next prime (664961233).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10129 + ... + 37848.

It is an arithmetic number, because the mean of its divisors is an integer number (17463992).

Almost surely, 2664961220 is an apocalyptic number.

664961220 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 664961220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257407424).

664961220 is an abundant number, since it is smaller than the sum of its proper divisors (1849853628).

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

664961220 is a wasteful number, since it uses less digits than its factorization.

664961220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48010 (or 48005 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 664961220 is about 25786.8419935439. The cubic root of 664961220 is about 872.8349061734.

The spelling of 664961220 in words is "six hundred sixty-four million, nine hundred sixty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1980 2310 2772 3465 4620 6930 13860 47977 95954 143931 191908 239885 287862 335839 431793 479770 527747 575724 671678 719655 863586 959540 1007517 1055494 1343356 1439310 1583241 1679195 1727172 2015034 2110988 2158965 2638735 2878620 3022551 3166482 3358390 3694229 4030068 4317930 4749723 5037585 5277470 6045102 6332964 6716780 7388458 7916205 8635860 9499446 10075170 10554940 11082687 12090204 14776916 15112755 15832410 18471145 18998892 20150340 22165374 23748615 30225510 31664820 33248061 36942290 44330748 47497230 55413435 60451020 66496122 73884580 94994460 110826870 132992244 166240305 221653740 332480610 664961220