Search a number
-
+
25018420 = 22574521
BaseRepresentation
bin101111101110…
…0000000110100
31202002001211011
41133130000310
522401042140
62252122004
7422440000
oct137340064
952061734
1025018420
1113138789
128466304
13524c6cb
143473700
1522e2cea
hex17dc034

25018420 has 60 divisors (see below), whose sum is σ = 61409124. Its totient is φ = 8561280.

The previous prime is 25018417. The next prime is 25018423. The reversal of 25018420 is 2481052.

It is an interprime number because it is at equal distance from previous prime (25018417) and next prime (25018423).

It can be written as a sum of positive squares in 2 ways, for example, as 8076964 + 16941456 = 2842^2 + 4116^2 .

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 25018391 and 25018400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25018423) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47760 + ... + 48280.

It is a vampire number, since it can be written as 48025210 (with its own digits).

Almost surely, 225018420 is an apocalyptic number.

25018420 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 25018420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30704562).

25018420 is an abundant number, since it is smaller than the sum of its proper divisors (36390704).

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

25018420 is an equidigital number, since it uses as much as digits as its factorization.

25018420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 25018420 is about 5001.8416608285. The cubic root of 25018420 is about 292.4735700667.

Adding to 25018420 its reverse (2481052), we get a palindrome (27499472).

The spelling of 25018420 in words is "twenty-five million, eighteen thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 521 686 980 1042 1372 1715 2084 2401 2605 3430 3647 4802 5210 6860 7294 9604 10420 12005 14588 18235 24010 25529 36470 48020 51058 72940 102116 127645 178703 255290 357406 510580 714812 893515 1250921 1787030 2501842 3574060 5003684 6254605 12509210 25018420