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25720240 = 2457133533
BaseRepresentation
bin110001000011…
…1010110110000
31210101201112111
41202013112300
523041021430
62315135104
7431422060
oct142072660
953351474
1025720240
1113577aa7
128744494
135436ca0
1435b73a0
1523d0c2a
hex18875b0

25720240 has 80 divisors (see below), whose sum is σ = 73620288. Its totient is φ = 8137728.

The previous prime is 25720213. The next prime is 25720241. The reversal of 25720240 is 4202752.

25720240 = 4422 + 4432 + ... + 5462.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25720241) 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 15 ways as a sum of consecutive naturals, for example, 5514 + ... + 9046.

Almost surely, 225720240 is an apocalyptic number.

25720240 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 25720240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36810144).

25720240 is an abundant number, since it is smaller than the sum of its proper divisors (47900048).

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

25720240 is a wasteful number, since it uses less digits than its factorization.

25720240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3566 (or 3560 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 25720240 is about 5071.5125948774. The cubic root of 25720240 is about 295.1832242972.

Adding to 25720240 its reverse (4202752), we get a palindrome (29922992).

The spelling of 25720240 in words is "twenty-five million, seven hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3533 3640 7066 7280 14132 17665 24731 28264 35330 45929 49462 56528 70660 91858 98924 123655 141320 183716 197848 229645 247310 282640 321503 367432 395696 459290 494620 643006 734864 918580 989240 1286012 1607515 1837160 1978480 2572024 3215030 3674320 5144048 6430060 12860120 25720240