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668146740 = 223537300967
BaseRepresentation
bin100111110100110…
…001110000110100
31201120020101000120
4213310301300310
52332021143430
6150144411540
722362103452
oct4764616064
91646211016
10668146740
11313173598
12167916bb0
13a8568a01
1464a459d2
153d9ce610
hex27d31c34

668146740 has 48 divisors (see below), whose sum is σ = 1921379712. Its totient is φ = 173356416.

The previous prime is 668146691. The next prime is 668146753. The reversal of 668146740 is 47641866.

668146740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 668146692 and 668146701.

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, 148264 + ... + 152703.

It is an arithmetic number, because the mean of its divisors is an integer number (40028744).

Almost surely, 2668146740 is an apocalyptic number.

668146740 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

668146740 is an abundant number, since it is smaller than the sum of its proper divisors (1253232972).

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

668146740 is a wasteful number, since it uses less digits than its factorization.

668146740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301016 (or 301014 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 668146740 is about 25848.5345812872. The cubic root of 668146740 is about 874.2264684806.

The spelling of 668146740 in words is "six hundred sixty-eight million, one hundred forty-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 300967 601934 902901 1203868 1504835 1805802 3009670 3611604 4514505 6019340 9029010 11135779 18058020 22271558 33407337 44543116 55678895 66814674 111357790 133629348 167036685 222715580 334073370 668146740