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24981940 = 2256120477
BaseRepresentation
bin101111101001…
…1000110110100
31202000012210001
41133103012310
522343410230
62251241044
7422225434
oct137230664
952005701
1024981940
1113113335
128449184
135238c19
1434642c4
1522d70ca
hex17d31b4

24981940 has 24 divisors (see below), whose sum is σ = 53324712. Its totient is φ = 9828480.

The previous prime is 24981937. The next prime is 24981947. The reversal of 24981940 is 4918942.

24981940 = T325 + T326 + ... + T568.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 736164 + 24245776 = 858^2 + 4924^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 24981940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24981947) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9019 + ... + 11458.

It is an arithmetic number, because the mean of its divisors is an integer number (2221863).

Almost surely, 224981940 is an apocalyptic number.

24981940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24981940 is an abundant number, since it is smaller than the sum of its proper divisors (28342772).

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

24981940 is a wasteful number, since it uses less digits than its factorization.

24981940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20547 (or 20545 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 24981940 is about 4998.1936737185. The cubic root of 24981940 is about 292.3313465125.

It can be divided in two parts, 24981 and 940, that added together give a square (25921 = 1612).

The spelling of 24981940 in words is "twenty-four million, nine hundred eighty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 20477 40954 81908 102385 204770 409540 1249097 2498194 4996388 6245485 12490970 24981940