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2425400 = 235267181
BaseRepresentation
bin1001010000001000111000
311120020000122
421100020320
51110103100
6123552412
726421065
oct11201070
94506018
102425400
11140726a
1298b708
1366bc63
14471c6c
1532d985
hex250238

2425400 has 48 divisors (see below), whose sum is σ = 5754840. Its totient is φ = 950400.

The previous prime is 2425399. The next prime is 2425403. The reversal of 2425400 is 45242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2425403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13310 + ... + 13490.

22425400 is an apocalyptic number.

2425400 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 2425400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2877420).

2425400 is an abundant number, since it is smaller than the sum of its proper divisors (3329440).

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

2425400 is a wasteful number, since it uses less digits than its factorization.

2425400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 2425400 is about 1557.3695772038. The cubic root of 2425400 is about 134.3572556342.

The spelling of 2425400 in words is "two million, four hundred twenty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 134 181 200 268 335 362 536 670 724 905 1340 1448 1675 1810 2680 3350 3620 4525 6700 7240 9050 12127 13400 18100 24254 36200 48508 60635 97016 121270 242540 303175 485080 606350 1212700 2425400