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25120000 = 2854157
BaseRepresentation
bin101111111010…
…0110100000000
31202021020011101
41133310310000
522412320000
62254224144
7423342103
oct137646400
952236141
1025120000
11131a8034
1284b5054
135286a09
14349c73a
152312e6a
hex17f4d00

25120000 has 90 divisors (see below), whose sum is σ = 63056378. Its totient is φ = 9984000.

The previous prime is 25119989. The next prime is 25120001. The reversal of 25120000 is 2152.

It can be written as a sum of positive squares in 5 ways, for example, as 12503296 + 12616704 = 3536^2 + 3552^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25120001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 159922 + ... + 160078.

Almost surely, 225120000 is an apocalyptic number.

25120000 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 25120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31528189).

25120000 is an abundant number, since it is smaller than the sum of its proper divisors (37936378).

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

25120000 is an frugal number, since it uses more digits than its factorization.

25120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 25120000 is about 5011.9856344567. The cubic root of 25120000 is about 292.8688701006.

Adding to 25120000 its reverse (2152), we get a palindrome (25122152).

It can be divided in two parts, 2 and 5120000, that multiplied together give a square (10240000 = 32002).

The spelling of 25120000 in words is "twenty-five million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 157 160 200 250 256 314 320 400 500 625 628 640 785 800 1000 1250 1256 1280 1570 1600 2000 2500 2512 3140 3200 3925 4000 5000 5024 6280 6400 7850 8000 10000 10048 12560 15700 16000 19625 20000 20096 25120 31400 32000 39250 40000 40192 50240 62800 78500 80000 98125 100480 125600 157000 160000 196250 200960 251200 314000 392500 502400 628000 785000 1004800 1256000 1570000 2512000 3140000 5024000 6280000 12560000 25120000