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25002420 = 22351093823
BaseRepresentation
bin101111101100…
…0000110110100
31202001020212120
41133120012310
522400034140
62251515540
7422342232
oct137300664
952036776
1025002420
1113127763
128458bb0
135245341
14346b952
1522dd1d0
hex17d81b4

25002420 has 48 divisors (see below), whose sum is σ = 70667520. Its totient is φ = 6604416.

The previous prime is 25002413. The next prime is 25002433. The reversal of 25002420 is 2420052.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 25002420.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4629 + ... + 8451.

It is an arithmetic number, because the mean of its divisors is an integer number (1472240).

Almost surely, 225002420 is an apocalyptic number.

25002420 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 25002420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35333760).

25002420 is an abundant number, since it is smaller than the sum of its proper divisors (45665100).

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

25002420 is a wasteful number, since it uses less digits than its factorization.

25002420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3944 (or 3942 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 25002420 is about 5000.2419941439. The cubic root of 25002420 is about 292.4112083474.

Adding to 25002420 its reverse (2420052), we get a palindrome (27422472).

The spelling of 25002420 in words is "twenty-five million, two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 218 327 436 545 654 1090 1308 1635 2180 3270 3823 6540 7646 11469 15292 19115 22938 38230 45876 57345 76460 114690 229380 416707 833414 1250121 1666828 2083535 2500242 4167070 5000484 6250605 8334140 12501210 25002420