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25716540 = 22351133793
BaseRepresentation
bin110001000011…
…0011100111100
31210101112110110
41202012130330
523040412130
62315110020
7431405223
oct142063474
953345413
1025716540
1113575243
128742310
1354353b5
1435b5cba
1523ceab0
hex188673c

25716540 has 48 divisors (see below), whose sum is σ = 72662688. Its totient is φ = 6795264.

The previous prime is 25716539. The next prime is 25716541. The reversal of 25716540 is 4561752.

It is an interprime number because it is at equal distance from previous prime (25716539) and next prime (25716541).

It is a super-2 number, since 2×257165402 = 1322680859143200, which contains 22 as substring.

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 = 25716498 and 25716507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25716541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4884 + ... + 8676.

It is an arithmetic number, because the mean of its divisors is an integer number (1513806).

Almost surely, 225716540 is an apocalyptic number.

25716540 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 25716540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36331344).

25716540 is an abundant number, since it is smaller than the sum of its proper divisors (46946148).

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

25716540 is a wasteful number, since it uses less digits than its factorization.

25716540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3918 (or 3916 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 25716540 is about 5071.1477990688. The cubic root of 25716540 is about 295.1690690339.

The spelling of 25716540 in words is "twenty-five million, seven hundred sixteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 226 339 452 565 678 1130 1356 1695 2260 3390 3793 6780 7586 11379 15172 18965 22758 37930 45516 56895 75860 113790 227580 428609 857218 1285827 1714436 2143045 2571654 4286090 5143308 6429135 8572180 12858270 25716540