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4680840 = 2335192053
BaseRepresentation
bin10001110110110010001000
322210210220110
4101312302020
52144241330
6244154320
754533523
oct21666210
98723813
104680840
11270786a
1216989a0
13c7b738
1489bbba
15626db0
hex476c88

4680840 has 64 divisors (see below), whose sum is σ = 14788800. Its totient is φ = 1181952.

The previous prime is 4680827. The next prime is 4680853. The reversal of 4680840 is 480864.

It is an interprime number because it is at equal distance from previous prime (4680827) and next prime (4680853).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4680798 and 4680807.

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, 1254 + ... + 3306.

It is an arithmetic number, because the mean of its divisors is an integer number (231075).

Almost surely, 24680840 is an apocalyptic number.

4680840 is a gapful number since it is divisible by the number (40) 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 4680840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7394400).

4680840 is an abundant number, since it is smaller than the sum of its proper divisors (10107960).

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

4680840 is a wasteful number, since it uses less digits than its factorization.

4680840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 4680840 is about 2163.5249016362. The cubic root of 4680840 is about 167.2789390917.

The spelling of 4680840 in words is "four million, six hundred eighty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2053 2280 4106 6159 8212 10265 12318 16424 20530 24636 30795 39007 41060 49272 61590 78014 82120 117021 123180 156028 195035 234042 246360 312056 390070 468084 585105 780140 936168 1170210 1560280 2340420 4680840