Search a number
-
+
24390630 = 23251171347
BaseRepresentation
bin101110100001…
…0101111100110
31200220011122200
41131002233212
522221000010
62230435330
7414213465
oct135025746
950804580
1024390630
111284a050
128202b46
13508ca34
14334c9dc
15221bcc0
hex1742be6

24390630 has 96 divisors (see below), whose sum is σ = 70357248. Its totient is φ = 5812800.

The previous prime is 24390617. The next prime is 24390643. The reversal of 24390630 is 3609342.

24390630 is a `hidden beast` number, since 24 + 3 + 9 + 0 + 630 = 666.

It is an interprime number because it is at equal distance from previous prime (24390617) and next prime (24390643).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 24390594 and 24390603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70117 + ... + 70463.

It is an arithmetic number, because the mean of its divisors is an integer number (732888).

Almost surely, 224390630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24390630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35178624).

24390630 is an abundant number, since it is smaller than the sum of its proper divisors (45966618).

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

24390630 is a wasteful number, since it uses less digits than its factorization.

24390630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 24390630 is about 4938.6870724920. The cubic root of 24390630 is about 290.0064604189.

Adding to 24390630 its reverse (3609342), we get a palindrome (27999972).

The spelling of 24390630 in words is "twenty-four million, three hundred ninety thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 71 90 99 110 142 165 198 213 330 347 355 426 495 639 694 710 781 990 1041 1065 1278 1562 1735 2082 2130 2343 3123 3195 3470 3817 3905 4686 5205 6246 6390 7029 7634 7810 10410 11451 11715 14058 15615 19085 22902 23430 24637 31230 34353 35145 38170 49274 57255 68706 70290 73911 114510 123185 147822 171765 221733 246370 271007 343530 369555 443466 542014 739110 813021 1108665 1355035 1626042 2217330 2439063 2710070 4065105 4878126 8130210 12195315 24390630