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2530400 = 25523163
BaseRepresentation
bin1001101001110001100000
311202120001112
421221301200
51121433100
6130122452
730336155
oct11516140
94676045
102530400
111479144
12a20428
136a79a2
1449c22c
1534eb35
hex269c60

2530400 has 36 divisors (see below), whose sum is σ = 6179292. Its totient is φ = 1011840.

The previous prime is 2530373. The next prime is 2530403. The reversal of 2530400 is 40352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2530403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 782 + ... + 2381.

It is an arithmetic number, because the mean of its divisors is an integer number (171647).

22530400 is an apocalyptic number.

2530400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2530400 is an abundant number, since it is smaller than the sum of its proper divisors (3648892).

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

2530400 is a wasteful number, since it uses less digits than its factorization.

2530400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3183 (or 3170 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 2530400 is about 1590.7231060119. The cubic root of 2530400 is about 136.2687879150.

Adding to 2530400 its reverse (40352), we get a palindrome (2570752).

The spelling of 2530400 in words is "two million, five hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 3163 6326 12652 15815 25304 31630 50608 63260 79075 101216 126520 158150 253040 316300 506080 632600 1265200 2530400