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2430640 = 245231321
BaseRepresentation
bin1001010001011010110000
311120111012201
421101122300
51110240030
6124032544
726442262
oct11213260
94514181
102430640
1114101a3
12992754
13671464
14473b32
153302ca
hex2516b0

2430640 has 40 divisors (see below), whose sum is σ = 5901408. Its totient is φ = 929280.

The previous prime is 2430611. The next prime is 2430671. The reversal of 2430640 is 460342.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1180 + ... + 2500.

22430640 is an apocalyptic number.

2430640 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 2430640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2950704).

2430640 is an abundant number, since it is smaller than the sum of its proper divisors (3470768).

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

2430640 is a wasteful number, since it uses less digits than its factorization.

2430640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2430640 is about 1559.0509933931. The cubic root of 2430640 is about 134.4539442374.

Adding to 2430640 its reverse (460342), we get a palindrome (2890982).

The spelling of 2430640 in words is "two million, four hundred thirty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1321 1840 2642 5284 6605 10568 13210 21136 26420 30383 52840 60766 105680 121532 151915 243064 303830 486128 607660 1215320 2430640