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9240094000 = 245344310429
BaseRepresentation
bin10001001101100000…
…01010010100110000
3212211221212102001201
420212300022110300
5122410431002000
64124515140544
7444656334364
oct104660122460
925757772051
109240094000
113a11879425
12195a5a4754
13b43434b57
146392732a4
1539130596a
hex226c0a530

9240094000 has 80 divisors (see below), whose sum is σ = 22395129120. Its totient is φ = 3687340800.

The previous prime is 9240093949. The next prime is 9240094007. The reversal of 9240094000 is 4900429.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 9240094000.

It is not an unprimeable number, because it can be changed into a prime (9240094007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 880786 + ... + 891214.

It is an arithmetic number, because the mean of its divisors is an integer number (279939114).

Almost surely, 29240094000 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 9240094000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11197564560).

9240094000 is an abundant number, since it is smaller than the sum of its proper divisors (13155035120).

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

9240094000 is a wasteful number, since it uses less digits than its factorization.

9240094000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10895 (or 10879 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 9240094000 is about 96125.4076714372. The cubic root of 9240094000 is about 2098.4186129258.

Adding to 9240094000 its reverse (4900429), we get a palindrome (9244994429).

The spelling of 9240094000 in words is "nine billion, two hundred forty million, ninety-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 443 500 886 1000 1772 2000 2215 3544 4430 7088 8860 10429 11075 17720 20858 22150 35440 41716 44300 52145 55375 83432 88600 104290 110750 166864 177200 208580 221500 260725 417160 443000 521450 834320 886000 1042900 1303625 2085800 2607250 4171600 4620047 5214500 9240094 10429000 18480188 20858000 23100235 36960376 46200470 73920752 92400940 115501175 184801880 231002350 369603760 462004700 577505875 924009400 1155011750 1848018800 2310023500 4620047000 9240094000