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25135040 = 26573229
BaseRepresentation
bin101111111100…
…0011111000000
31202021222210102
41133320133000
522413310130
62254421532
7423434000
oct137703700
952258712
1025135040
1113208367
1285018a8
135290808
1434a4000
152317645
hex17f87c0

25135040 has 112 divisors (see below), whose sum is σ = 70104000. Its totient is φ = 8580096.

The previous prime is 25135037. The next prime is 25135063. The reversal of 25135040 is 4053152.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 109646 + ... + 109874.

Almost surely, 225135040 is an apocalyptic number.

25135040 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 25135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35052000).

25135040 is an abundant number, since it is smaller than the sum of its proper divisors (44968960).

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

25135040 is an equidigital number, since it uses as much as digits as its factorization.

25135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 25135040 is about 5013.4858132840. The cubic root of 25135040 is about 292.9273078530.

Adding to 25135040 its reverse (4053152), we get a palindrome (29188192).

The spelling of 25135040 in words is "twenty-five million, one hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 140 160 196 224 229 245 280 320 343 392 448 458 490 560 686 784 916 980 1120 1145 1372 1568 1603 1715 1832 1960 2240 2290 2744 3136 3206 3430 3664 3920 4580 5488 6412 6860 7328 7840 8015 9160 10976 11221 12824 13720 14656 15680 16030 18320 21952 22442 25648 27440 32060 36640 44884 51296 54880 56105 64120 73280 78547 89768 102592 109760 112210 128240 157094 179536 224420 256480 314188 359072 392735 448840 512960 628376 718144 785470 897680 1256752 1570940 1795360 2513504 3141880 3590720 5027008 6283760 12567520 25135040