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4680312 = 2337132143
BaseRepresentation
bin10001110110101001111000
322210210011220
4101312221320
52144232222
6244152040
754532140
oct21665170
98723156
104680312
11270742a
121698620
13c7b420
1489b920
15626b5c
hex476a78

4680312 has 64 divisors (see below), whose sum is σ = 14407680. Its totient is φ = 1233792.

The previous prime is 4680311. The next prime is 4680317. The reversal of 4680312 is 2130864.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4680311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1113 + ... + 3255.

It is an arithmetic number, because the mean of its divisors is an integer number (225120).

Almost surely, 24680312 is an apocalyptic number.

4680312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4680312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7203840).

4680312 is an abundant number, since it is smaller than the sum of its proper divisors (9727368).

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

4680312 is a wasteful number, since it uses less digits than its factorization.

4680312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2172 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 4680312 is about 2163.4028751021. The cubic root of 4680312 is about 167.2726491522.

The spelling of 4680312 in words is "four million, six hundred eighty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2143 2184 4286 6429 8572 12858 15001 17144 25716 27859 30002 45003 51432 55718 60004 83577 90006 111436 120008 167154 180012 195013 222872 334308 360024 390026 585039 668616 780052 1170078 1560104 2340156 4680312