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664801020 = 223451331567
BaseRepresentation
bin100111101000000…
…000111011111100
31201022221101120000
4213220000323330
52330142113040
6145544554300
722321500252
oct4750007374
91638841500
10664801020
11311298934
12166782990
13a7966bb0
14644145d2
153d56d130
hex27a00efc

664801020 has 120 divisors (see below), whose sum is σ = 2246000064. Its totient is φ = 163638144.

The previous prime is 664801003. The next prime is 664801021. The reversal of 664801020 is 20108466.

664801020 is a `hidden beast` number, since 6 + 648 + 0 + 10 + 2 + 0 = 666.

664801020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664801021) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5277 + ... + 36843.

Almost surely, 2664801020 is an apocalyptic number.

664801020 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 664801020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123000032).

664801020 is an abundant number, since it is smaller than the sum of its proper divisors (1581199044).

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

664801020 is a wasteful number, since it uses less digits than its factorization.

664801020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31601 (or 31590 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 664801020 is about 25783.7355710921. The cubic root of 664801020 is about 872.7648071570.

Adding to 664801020 its reverse (20108466), we get a palindrome (684909486).

The spelling of 664801020 in words is "six hundred sixty-four million, eight hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1053 1170 1404 1620 1755 2106 2340 3510 4212 5265 7020 10530 21060 31567 63134 94701 126268 157835 189402 284103 315670 378804 410371 473505 568206 631340 820742 852309 947010 1136412 1231113 1420515 1641484 1704618 1894020 2051855 2462226 2556927 2841030 3409236 3693339 4103710 4261545 4924452 5113854 5682060 6155565 7386678 8207420 8523090 10227708 11080017 12311130 12784635 14773356 17046180 18466695 22160034 24622260 25569270 33240051 36933390 44320068 51138540 55400085 66480102 73866780 110800170 132960204 166200255 221600340 332400510 664801020