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668958120 = 233251858217
BaseRepresentation
bin100111110111110…
…111110110101000
31201121202121000200
4213313313312220
52332223124440
6150214032200
722402023135
oct4767676650
91647677020
10668958120
11313678156
12168048660
13a879110c
1464bb758c
153dadec30
hex27df7da8

668958120 has 48 divisors (see below), whose sum is σ = 2174115060. Its totient is φ = 178388736.

The previous prime is 668958071. The next prime is 668958127. The reversal of 668958120 is 21859866.

668958120 is a `hidden beast` number, since 6 + 68 + 9 + 581 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 648109764 + 20848356 = 25458^2 + 4566^2 .

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 (668958127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 928749 + ... + 929468.

Almost surely, 2668958120 is an apocalyptic number.

668958120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

668958120 is an abundant number, since it is smaller than the sum of its proper divisors (1505156940).

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

668958120 is a wasteful number, since it uses less digits than its factorization.

668958120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1858234 (or 1858227 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 668958120 is about 25864.2247129118. The cubic root of 668958120 is about 874.5802046150.

The spelling of 668958120 in words is "six hundred sixty-eight million, nine hundred fifty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1858217 3716434 5574651 7432868 9291085 11149302 14865736 16723953 18582170 22298604 27873255 33447906 37164340 44597208 55746510 66895812 74328680 83619765 111493020 133791624 167239530 222986040 334479060 668958120