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24142986 = 2327231883
BaseRepresentation
bin101110000011…
…0010010001010
31200102120221200
41130012102022
522140033421
62221245030
7412132500
oct134062212
950376850
1024142986
111269aa8a
128103776
1350040ba
1432c6670
1521bd726
hex170648a

24142986 has 72 divisors (see below), whose sum is σ = 62884224. Its totient is φ = 6667920.

The previous prime is 24142969. The next prime is 24142999. The reversal of 24142986 is 68924142.

It is a self number, because there is not a number n which added to its sum of digits gives 24142986.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26901 + ... + 27783.

It is an arithmetic number, because the mean of its divisors is an integer number (873392).

Almost surely, 224142986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24142986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31442112).

24142986 is an abundant number, since it is smaller than the sum of its proper divisors (38741238).

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

24142986 is a wasteful number, since it uses less digits than its factorization.

24142986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 926 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 24142986 is about 4913.5512615623. The cubic root of 24142986 is about 289.0216176962.

The spelling of 24142986 in words is "twenty-four million, one hundred forty-two thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 49 62 63 93 98 126 147 186 217 279 294 434 441 558 651 882 883 1302 1519 1766 1953 2649 3038 3906 4557 5298 6181 7947 9114 12362 13671 15894 18543 27342 27373 37086 43267 54746 55629 82119 86534 111258 129801 164238 191611 246357 259602 383222 389403 492714 574833 778806 1149666 1341277 1724499 2682554 3448998 4023831 8047662 12071493 24142986