Search a number
-
+
25642740 = 2235427379
BaseRepresentation
bin110000111010…
…0011011110100
31210020210020010
41201310123310
523031031430
62313340220
7430650114
oct141643364
953223203
1025642740
1113524852
128707670
13540a926
143597044
1523b7cb0
hex18746f4

25642740 has 24 divisors (see below), whose sum is σ = 71799840. Its totient is φ = 6838048.

The previous prime is 25642717. The next prime is 25642741. The reversal of 25642740 is 4724652.

It is a super-2 number, since 2×256427402 = 1315100229415200, 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 = 25642698 and 25642707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25642741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 213630 + ... + 213749.

It is an arithmetic number, because the mean of its divisors is an integer number (2991660).

Almost surely, 225642740 is an apocalyptic number.

25642740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25642740 is an abundant number, since it is smaller than the sum of its proper divisors (46157100).

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

25642740 is a wasteful number, since it uses less digits than its factorization.

25642740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427391 (or 427389 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 25642740 is about 5063.8661119741. The cubic root of 25642740 is about 294.8864448514.

The spelling of 25642740 in words is "twenty-five million, six hundred forty-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 427379 854758 1282137 1709516 2136895 2564274 4273790 5128548 6410685 8547580 12821370 25642740