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24969040 = 2451916427
BaseRepresentation
bin101111100111…
…1111101010000
31201222120002021
41133033331100
522343002130
62251101224
7422143015
oct137177520
951876067
1024969040
1113104678
128441814
1352330a5
14345d70c
1522d337a
hex17cff50

24969040 has 40 divisors (see below), whose sum is σ = 61112160. Its totient is φ = 9461376.

The previous prime is 24969031. The next prime is 24969071. The reversal of 24969040 is 4096942.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 24968987 and 24969005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6694 + ... + 9733.

It is an arithmetic number, because the mean of its divisors is an integer number (1527804).

Almost surely, 224969040 is an apocalyptic number.

24969040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24969040 is an abundant number, since it is smaller than the sum of its proper divisors (36143120).

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

24969040 is a wasteful number, since it uses less digits than its factorization.

24969040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16459 (or 16453 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 24969040 is about 4996.9030408844. The cubic root of 24969040 is about 292.2810205084.

The spelling of 24969040 in words is "twenty-four million, nine hundred sixty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 16427 32854 65708 82135 131416 164270 262832 312113 328540 624226 657080 1248452 1314160 1560565 2496904 3121130 4993808 6242260 12484520 24969040