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2400680 = 23560017
BaseRepresentation
bin1001001010000110101000
311111222010002
421022012220
51103310210
6123242132
726256032
oct11120650
94458102
102400680
11139a737
12979348
13660929
14466c52
153264a5
hex24a1a8

2400680 has 16 divisors (see below), whose sum is σ = 5401620. Its totient is φ = 960256.

The previous prime is 2400667. The next prime is 2400703. The reversal of 2400680 is 860042.

It can be written as a sum of positive squares in 2 ways, for example, as 2353156 + 47524 = 1534^2 + 218^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29969 + ... + 30048.

22400680 is an apocalyptic number.

2400680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400680 is an abundant number, since it is smaller than the sum of its proper divisors (3000940).

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

2400680 is a wasteful number, since it uses less digits than its factorization.

2400680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60028 (or 60024 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2400680 is about 1549.4127919957. The cubic root of 2400680 is about 133.8992336670.

The spelling of 2400680 in words is "two million, four hundred thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 60017 120034 240068 300085 480136 600170 1200340 2400680