Search a number
-
+
25302080 = 265372137
BaseRepresentation
bin110000010000…
…1010001000000
31202121110221002
41200201101000
522434131310
62302151132
7425030666
oct140412100
952543832
1025302080
1113311911
1285824a8
13531b85b
143508c36
15234bda5
hex1821440

25302080 has 56 divisors (see below), whose sum is σ = 61907928. Its totient is φ = 9842688.

The previous prime is 25302073. The next prime is 25302097. The reversal of 25302080 is 8020352.

It can be written as a sum of positive squares in 4 ways, for example, as 1721344 + 23580736 = 1312^2 + 4856^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10772 + ... + 12908.

Almost surely, 225302080 is an apocalyptic number.

25302080 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 25302080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30953964).

25302080 is an abundant number, since it is smaller than the sum of its proper divisors (36605848).

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

25302080 is a wasteful number, since it uses less digits than its factorization.

25302080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2191 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 25302080 is about 5030.1172948551. The cubic root of 25302080 is about 293.5747782535.

The spelling of 25302080 in words is "twenty-five million, three hundred two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 148 160 185 296 320 370 592 740 1184 1480 2137 2368 2960 4274 5920 8548 10685 11840 17096 21370 34192 42740 68384 79069 85480 136768 158138 170960 316276 341920 395345 632552 683840 790690 1265104 1581380 2530208 3162760 5060416 6325520 12651040 25302080