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25980240 = 24351113757
BaseRepresentation
bin110001100011…
…0110101010000
31210212221012010
41203012311100
523122331430
62324502520
7433554066
oct143066520
953787163
1025980240
1113735380
12884aa40
1354c8430
143644036
152432cb0
hex18c6d50

25980240 has 160 divisors (see below), whose sum is σ = 94743936. Its totient is φ = 5806080.

The previous prime is 25980223. The next prime is 25980247. The reversal of 25980240 is 4208952.

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 = 25980198 and 25980207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25980247) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 33942 + ... + 34698.

Almost surely, 225980240 is an apocalyptic number.

25980240 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 25980240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47371968).

25980240 is an abundant number, since it is smaller than the sum of its proper divisors (68763696).

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

25980240 is a wasteful number, since it uses less digits than its factorization.

25980240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 25980240 is about 5097.0815178884. The cubic root of 25980240 is about 296.1745379197.

The spelling of 25980240 in words is "twenty-five million, nine hundred eighty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 33 39 40 44 48 52 55 60 65 66 78 80 88 104 110 120 130 132 143 156 165 176 195 208 220 240 260 264 286 312 330 390 429 440 520 528 572 624 660 715 757 780 858 880 1040 1144 1320 1430 1514 1560 1716 2145 2271 2288 2640 2860 3028 3120 3432 3785 4290 4542 5720 6056 6864 7570 8327 8580 9084 9841 11355 11440 12112 15140 16654 17160 18168 19682 22710 24981 29523 30280 33308 34320 36336 39364 41635 45420 49205 49962 59046 60560 66616 78728 83270 90840 98410 99924 108251 118092 124905 133232 147615 157456 166540 181680 196820 199848 216502 236184 249810 295230 324753 333080 393640 399696 433004 472368 499620 541255 590460 649506 666160 787280 866008 999240 1082510 1180920 1299012 1623765 1732016 1998480 2165020 2361840 2598024 3247530 4330040 5196048 6495060 8660080 12990120 25980240