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668736540 = 223351965179
BaseRepresentation
bin100111110111000…
…001110000011100
31201121100100002000
4213313001300130
52332144032130
6150205202300
722400111133
oct4767016034
91647310060
10668736540
1131353672a
12167b60390
13a87142c4
1464b5a91a
153da99260
hex27dc1c1c

668736540 has 96 divisors (see below), whose sum is σ = 2190048000. Its totient is φ = 168941376.

The previous prime is 668736511. The next prime is 668736547. The reversal of 668736540 is 45637866.

668736540 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668736547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22330 + ... + 42849.

It is an arithmetic number, because the mean of its divisors is an integer number (22813000).

Almost surely, 2668736540 is an apocalyptic number.

668736540 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

668736540 is an abundant number, since it is smaller than the sum of its proper divisors (1521311460).

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

668736540 is a wasteful number, since it uses less digits than its factorization.

668736540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65216 (or 65208 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 668736540 is about 25859.9408351991. The cubic root of 668736540 is about 874.4836311145.

The spelling of 668736540 in words is "six hundred sixty-eight million, seven hundred thirty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 1026 1140 1710 2052 2565 3420 5130 10260 65179 130358 195537 260716 325895 391074 586611 651790 782148 977685 1173222 1238401 1303580 1759833 1955370 2346444 2476802 2933055 3519666 3715203 3910740 4953604 5866110 6192005 7039332 7430406 8799165 11145609 11732220 12384010 14860812 17598330 18576015 22291218 24768020 33436827 35196660 37152030 44582436 55728045 66873654 74304060 111456090 133747308 167184135 222912180 334368270 668736540