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2368040 = 235531117
BaseRepresentation
bin1001000010001000101000
311110022100012
421002020220
51101234130
6122431052
726061623
oct11021050
94408305
102368040
111378164
12962488
1364bb0c
14458dba
1531b995
hex242228

2368040 has 32 divisors (see below), whose sum is σ = 5433480. Its totient is φ = 928512.

The previous prime is 2368039. The next prime is 2368043. The reversal of 2368040 is 408632.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1532644 + 835396 = 1238^2 + 914^2 .

It is a super-2 number, since 2×23680402 = 11215226883200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2367997 and 2368015.

It is not an unprimeable number, because it can be changed into a prime (2368043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1562 + ... + 2678.

22368040 is an apocalyptic number.

2368040 is a gapful number since it is divisible by the number (20) 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 2368040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2716740).

2368040 is an abundant number, since it is smaller than the sum of its proper divisors (3065440).

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

2368040 is a wasteful number, since it uses less digits than its factorization.

2368040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 2368040 is about 1538.8437217599. The cubic root of 2368040 is about 133.2896245620.

The spelling of 2368040 in words is "two million, three hundred sixty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 1117 2120 2234 4468 5585 8936 11170 22340 44680 59201 118402 236804 296005 473608 592010 1184020 2368040