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668650320 = 243251371437
BaseRepresentation
bin100111110110101…
…100101101010000
31201121011221210200
4213312230231100
52332133302240
6150203255200
722366301562
oct4766545520
91647157720
10668650320
11313487978
12167b1a500
13a86b3ca0
1464b37332
153da7d930
hex27dacb50

668650320 has 120 divisors (see below), whose sum is σ = 2418319176. Its totient is φ = 164588544.

The previous prime is 668650277. The next prime is 668650321. The reversal of 668650320 is 23056866.

It can be written as a sum of positive squares in 4 ways, for example, as 47444544 + 621205776 = 6888^2 + 24924^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×6686503202 = 894186500872204800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668650321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26359 + ... + 45078.

Almost surely, 2668650320 is an apocalyptic number.

668650320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

668650320 is an abundant number, since it is smaller than the sum of its proper divisors (1749668856).

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

668650320 is a wasteful number, since it uses less digits than its factorization.

668650320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71469 (or 71460 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 668650320 is about 25858.2737242841. The cubic root of 668650320 is about 874.4460471958.

The spelling of 668650320 in words is "six hundred sixty-eight million, six hundred fifty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 71437 142874 214311 285748 357185 428622 571496 642933 714370 857244 928681 1071555 1142992 1285866 1428740 1714488 1857362 2143110 2571732 2786043 2857480 3214665 3428976 3714724 4286220 4643405 5143464 5572086 5714960 6429330 7429448 8358129 8572440 9286810 10286928 11144172 12858660 13930215 14858896 16716258 17144880 18573620 22288344 25717320 27860430 33432516 37147240 41790645 44576688 51434640 55720860 66865032 74294480 83581290 111441720 133730064 167162580 222883440 334325160 668650320