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25131120 = 2435722137
BaseRepresentation
bin101111111011…
…1100001110000
31202021210102020
41133313201300
522413143440
62254351440
7423416400
oct137674160
952253366
1025131120
1113205423
1284bb580
13528bab1
1434a2800
1523163d0
hex17f7870

25131120 has 120 divisors (see below), whose sum is σ = 90668304. Its totient is φ = 5741568.

The previous prime is 25131107. The next prime is 25131131. The reversal of 25131120 is 2113152.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 25131120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10692 + ... + 12828.

Almost surely, 225131120 is an apocalyptic number.

25131120 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 25131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45334152).

25131120 is an abundant number, since it is smaller than the sum of its proper divisors (65537184).

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

25131120 is a wasteful number, since it uses less digits than its factorization.

25131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167 (or 2154 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 25131120 is about 5013.0948524838. The cubic root of 25131120 is about 292.9120789833.

Adding to 25131120 its reverse (2113152), we get a palindrome (27244272).

The spelling of 25131120 in words is "twenty-five million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1680 1960 2137 2352 2940 3920 4274 5880 6411 8548 10685 11760 12822 14959 17096 21370 25644 29918 32055 34192 42740 44877 51288 59836 64110 74795 85480 89754 102576 104713 119672 128220 149590 170960 179508 209426 224385 239344 256440 299180 314139 359016 418852 448770 512880 523565 598360 628278 718032 837704 897540 1047130 1196720 1256556 1570695 1675408 1795080 2094260 2513112 3141390 3590160 4188520 5026224 6282780 8377040 12565560 25131120