Search a number
-
+
24189490 = 25133747107
BaseRepresentation
bin101110001000…
…1101000110010
31200111221202001
41130101220302
522143030430
62222244214
7412415203
oct134215062
950457661
1024189490
1112721a16
12812666a
13501c310
1432d95aa
1521cc3ca
hex1711a32

24189490 has 64 divisors (see below), whose sum is σ = 49641984. Its totient is φ = 8425728.

The previous prime is 24189481. The next prime is 24189497. The reversal of 24189490 is 9498142.

It is a happy number.

24189490 is a nontrivial binomial coefficient, being equal to C(6956, 2).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (24189497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226017 + ... + 226123.

It is an arithmetic number, because the mean of its divisors is an integer number (775656).

Almost surely, 224189490 is an apocalyptic number.

24189490 is the 6955-th triangular number and also the 3478-th hexagonal number.

24189490 is the 2319-th centered nonagonal number.

24189490 is an abundant number, since it is smaller than the sum of its proper divisors (25452494).

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

24189490 is a wasteful number, since it uses less digits than its factorization.

24189490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211.

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

The square root of 24189490 is about 4918.2812038353. The cubic root of 24189490 is about 289.2070689459.

The spelling of 24189490 in words is "twenty-four million, one hundred eighty-nine thousand, four hundred ninety".

Divisors: 1 2 5 10 13 26 37 47 65 74 94 107 130 185 214 235 370 470 481 535 611 962 1070 1222 1391 1739 2405 2782 3055 3478 3959 4810 5029 6110 6955 7918 8695 10058 13910 17390 19795 22607 25145 39590 45214 50290 51467 65377 102934 113035 130754 186073 226070 257335 326885 372146 514670 653770 930365 1860730 2418949 4837898 12094745 24189490