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25305040 = 2453783103
BaseRepresentation
bin110000010000…
…1111111010000
31202121121222201
41200201333100
522434230130
62302212544
7425042425
oct140417720
952547881
1025305040
1113314062
128584154
13531ccc7
143509d4c
15234cbca
hex1821fd0

25305040 has 80 divisors (see below), whose sum is σ = 61746048. Its totient is φ = 9635328.

The previous prime is 25305013. The next prime is 25305053. The reversal of 25305040 is 4050352.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 25304999 and 25305017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245629 + ... + 245731.

Almost surely, 225305040 is an apocalyptic number.

25305040 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 25305040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30873024).

25305040 is an abundant number, since it is smaller than the sum of its proper divisors (36441008).

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

25305040 is a wasteful number, since it uses less digits than its factorization.

25305040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 19.

The square root of 25305040 is about 5030.4115139817. The cubic root of 25305040 is about 293.5862258954.

Adding to 25305040 its reverse (4050352), we get a palindrome (29355392).

The spelling of 25305040 in words is "twenty-five million, three hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 83 103 148 166 185 206 296 332 370 412 415 515 592 664 740 824 830 1030 1328 1480 1648 1660 2060 2960 3071 3320 3811 4120 6142 6640 7622 8240 8549 12284 15244 15355 17098 19055 24568 30488 30710 34196 38110 42745 49136 60976 61420 68392 76220 85490 122840 136784 152440 170980 245680 304880 316313 341960 632626 683920 1265252 1581565 2530504 3163130 5061008 6326260 12652520 25305040