Search a number
-
+
25430020 = 2257311337
BaseRepresentation
bin110000100000…
…0100000000100
31202211222102121
41201000200010
523002230040
62305015324
7426103000
oct141004004
952758377
1025430020
1113399a50
128624544
135364b65
14353d700
152374c4a
hex1840804

25430020 has 96 divisors (see below), whose sum is σ = 68140800. Its totient is φ = 7902720.

The previous prime is 25430017. The next prime is 25430023. The reversal of 25430020 is 2003452.

It is an interprime number because it is at equal distance from previous prime (25430017) and next prime (25430023).

It is a junction number, because it is equal to n+sod(n) for n = 25429976 and 25430003.

It is not an unprimeable number, because it can be changed into a prime (25430023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75292 + ... + 75628.

It is an arithmetic number, because the mean of its divisors is an integer number (709800).

Almost surely, 225430020 is an apocalyptic number.

25430020 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 25430020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34070400).

25430020 is an abundant number, since it is smaller than the sum of its proper divisors (42710780).

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

25430020 is a wasteful number, since it uses less digits than its factorization.

25430020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 25430020 is about 5042.8186562675. The cubic root of 25430020 is about 294.0687669828.

Adding to 25430020 its reverse (2003452), we get a palindrome (27433472).

The spelling of 25430020 in words is "twenty-five million, four hundred thirty thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 337 343 385 490 539 674 686 770 980 1078 1348 1372 1540 1685 1715 2156 2359 2695 3370 3430 3707 3773 4718 5390 6740 6860 7414 7546 9436 10780 11795 14828 15092 16513 18535 18865 23590 25949 33026 37070 37730 47180 51898 66052 74140 75460 82565 103796 115591 129745 165130 181643 231182 259490 330260 363286 462364 518980 577955 726572 908215 1155910 1271501 1816430 2311820 2543002 3632860 5086004 6357505 12715010 25430020