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25470840 = 23353141167
BaseRepresentation
bin110000100101…
…0011101111000
31202221001102110
41201022131320
523010031330
62305532320
7426333003
oct141123570
952831373
1025470840
111341768a
1286440a0
13537a605
14355053a
152381db0
hex184a778

25470840 has 128 divisors (see below), whose sum is σ = 81285120. Its totient is φ = 6374400.

The previous prime is 25470839. The next prime is 25470847. The reversal of 25470840 is 4807452.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 25470798 and 25470807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25470847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152437 + ... + 152603.

It is an arithmetic number, because the mean of its divisors is an integer number (635040).

Almost surely, 225470840 is an apocalyptic number.

25470840 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 25470840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40642560).

25470840 is an abundant number, since it is smaller than the sum of its proper divisors (55814280).

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

25470840 is a wasteful number, since it uses less digits than its factorization.

25470840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 25470840 is about 5046.8643730538. The cubic root of 25470840 is about 294.2260282296.

The spelling of 25470840 in words is "twenty-five million, four hundred seventy thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 41 60 62 82 93 120 123 124 155 164 167 186 205 246 248 310 328 334 372 410 465 492 501 615 620 668 744 820 835 930 984 1002 1230 1240 1271 1336 1640 1670 1860 2004 2460 2505 2542 3340 3720 3813 4008 4920 5010 5084 5177 6355 6680 6847 7626 10020 10168 10354 12710 13694 15252 15531 19065 20040 20541 20708 25420 25885 27388 30504 31062 34235 38130 41082 41416 50840 51770 54776 62124 68470 76260 77655 82164 102705 103540 124248 136940 152520 155310 164328 205410 207080 212257 273880 310620 410820 424514 621240 636771 821640 849028 1061285 1273542 1698056 2122570 2547084 3183855 4245140 5094168 6367710 8490280 12735420 25470840