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668815680 = 26351353591
BaseRepresentation
bin100111110111010…
…101000101000000
31201121111100122010
4213313111011000
52332204100210
6150211012520
722400560641
oct4767250500
91647440563
10668815680
11313590135
12167b9a140
13a8741330
1464b7b6c8
153dab2920
hex27dd5140

668815680 has 112 divisors (see below), whose sum is σ = 2286877824. Its totient is φ = 164628480.

The previous prime is 668815673. The next prime is 668815691. The reversal of 668815680 is 86518866.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14316 + ... + 39275.

It is an arithmetic number, because the mean of its divisors is an integer number (20418552).

Almost surely, 2668815680 is an apocalyptic number.

668815680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

668815680 is an abundant number, since it is smaller than the sum of its proper divisors (1618062144).

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

668815680 is a wasteful number, since it uses less digits than its factorization.

668815680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53624 (or 53614 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The square root of 668815680 is about 25861.4709558447. The cubic root of 668815680 is about 874.5181259669.

The spelling of 668815680 in words is "six hundred sixty-eight million, eight hundred fifteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 12480 53591 107182 160773 214364 267955 321546 428728 535910 643092 696683 803865 857456 1071820 1286184 1393366 1607730 1714912 2090049 2143640 2572368 2786732 3215460 3429824 3483415 4180098 4287280 5144736 5573464 6430920 6966830 8360196 8574560 10289472 10450245 11146928 12861840 13933660 16720392 17149120 20900490 22293856 25723680 27867320 33440784 41800980 44587712 51447360 55734640 66881568 83601960 111469280 133763136 167203920 222938560 334407840 668815680