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664707780 = 22325111917669
BaseRepresentation
bin100111100111101…
…010001011000100
31201022202122122200
4213213222023010
52330131122110
6145542554500
722320631362
oct4747521304
91638678580
10664707780
11311234880
12166738a30
13a7933619
14643cc632
153d5506c0
hex279ea2c4

664707780 has 144 divisors (see below), whose sum is σ = 2315476800. Its totient is φ = 152651520.

The previous prime is 664707779. The next prime is 664707781. The reversal of 664707780 is 87707466.

664707780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (664707779) and next prime (664707781).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (664707781) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28786 + ... + 46454.

It is an arithmetic number, because the mean of its divisors is an integer number (16079700).

Almost surely, 2664707780 is an apocalyptic number.

664707780 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 664707780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157738400).

664707780 is an abundant number, since it is smaller than the sum of its proper divisors (1650769020).

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

664707780 is a wasteful number, since it uses less digits than its factorization.

664707780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17714 (or 17709 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 664707780 is about 25781.9273911009. The cubic root of 664707780 is about 872.7240027695.

It can be divided in two parts, 66 and 4707780, that added together give a triangular number (4707846 = T3068).

The spelling of 664707780 in words is "six hundred sixty-four million, seven hundred seven thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 19 20 22 30 33 36 38 44 45 55 57 60 66 76 90 95 99 110 114 132 165 171 180 190 198 209 220 228 285 330 342 380 396 418 495 570 627 660 684 836 855 990 1045 1140 1254 1710 1881 1980 2090 2508 3135 3420 3762 4180 6270 7524 9405 12540 17669 18810 35338 37620 53007 70676 88345 106014 159021 176690 194359 212028 265035 318042 335711 353380 388718 530070 583077 636084 671422 777436 795105 971795 1007133 1060140 1166154 1342844 1590210 1678555 1749231 1943590 2014266 2332308 2915385 3021399 3180420 3357110 3498462 3692821 3887180 4028532 5035665 5830770 6042798 6714220 6996924 7385642 8746155 10071330 11078463 11661540 12085596 14771284 15106995 17492310 18464105 20142660 22156926 30213990 33235389 34984620 36928210 44313852 55392315 60427980 66470778 73856420 110784630 132941556 166176945 221569260 332353890 664707780