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24070116 = 22372941241
BaseRepresentation
bin101101111010…
…0011111100100
31200021212222210
41123310133210
522130220431
62215523420
7411410160
oct133643744
950255883
1024070116
1112650264
128089570
134ca9b95
1432a7ca0
1521a6d46
hex16f47e4

24070116 has 96 divisors (see below), whose sum is σ = 68302080. Its totient is φ = 6451200.

The previous prime is 24070103. The next prime is 24070117. The reversal of 24070116 is 61107042.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 24070092 and 24070101.

It is not an unprimeable number, because it can be changed into a prime (24070117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99756 + ... + 99996.

It is an arithmetic number, because the mean of its divisors is an integer number (711480).

Almost surely, 224070116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24070116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34151040).

24070116 is an abundant number, since it is smaller than the sum of its proper divisors (44231964).

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

24070116 is a wasteful number, since it uses less digits than its factorization.

24070116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 24070116 is about 4906.1304507728. The cubic root of 24070116 is about 288.7305430941.

Adding to 24070116 its reverse (61107042), we get a palindrome (85177158).

The spelling of 24070116 in words is "twenty-four million, seventy thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 41 42 58 82 84 87 116 123 164 174 203 241 246 287 348 406 482 492 574 609 723 812 861 964 1148 1189 1218 1446 1687 1722 2378 2436 2892 3374 3444 3567 4756 5061 6748 6989 7134 8323 9881 10122 13978 14268 16646 19762 20244 20967 24969 27956 29643 33292 39524 41934 48923 49938 59286 69167 83868 97846 99876 118572 138334 146769 195692 207501 276668 286549 293538 415002 573098 587076 830004 859647 1146196 1719294 2005843 3438588 4011686 6017529 8023372 12035058 24070116