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664410780 = 2232511615501
BaseRepresentation
bin100111100110100…
…001101010011100
31201022012120020200
4213212201222130
52330042121110
6145532343500
722315253445
oct4746415234
91638176220
10664410780
11311051720
12166614b90
13a785b397
14643522cc
153d4e26c0
hex279a1a9c

664410780 has 144 divisors (see below), whose sum is σ = 2235044448. Its totient is φ = 158400000.

The previous prime is 664410757. The next prime is 664410823. The reversal of 664410780 is 87014466.

664410780 is a `hidden beast` number, since 6 + 644 + 1 + 0 + 7 + 8 + 0 = 666.

664410780 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118030 + ... + 123530.

It is an arithmetic number, because the mean of its divisors is an integer number (15521142).

Almost surely, 2664410780 is an apocalyptic number.

664410780 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 664410780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117522224).

664410780 is an abundant number, since it is smaller than the sum of its proper divisors (1570633668).

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

664410780 is a wasteful number, since it uses less digits than its factorization.

664410780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5588 (or 5583 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 664410780 is about 25776.1668989010. The cubic root of 664410780 is about 872.5940019628.

It can be divided in two parts, 6644 and 10780, that added together give a square (17424 = 1322).

The spelling of 664410780 in words is "six hundred sixty-four million, four hundred ten thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 61 66 90 99 110 122 132 165 180 183 198 220 244 305 330 366 396 495 549 610 660 671 732 915 990 1098 1220 1342 1830 1980 2013 2196 2684 2745 3355 3660 4026 5490 5501 6039 6710 8052 10065 10980 11002 12078 13420 16503 20130 22004 24156 27505 30195 33006 40260 49509 55010 60390 60511 66012 82515 99018 110020 120780 121022 165030 181533 198036 242044 247545 302555 330060 335561 363066 495090 544599 605110 671122 726132 907665 990180 1006683 1089198 1210220 1342244 1677805 1815330 2013366 2178396 2722995 3020049 3355610 3630660 3691171 4026732 5033415 5445990 6040098 6711220 7382342 10066830 10891980 11073513 12080196 14764684 15100245 18455855 20133660 22147026 30200490 33220539 36911710 44294052 55367565 60400980 66441078 73823420 110735130 132882156 166102695 221470260 332205390 664410780