Search a number
-
+
9930748000 = 255315431609
BaseRepresentation
bin10010011111110101…
…10011000001100000
3221122002110021020111
421033322303001200
5130314232414000
64321230221104
7501043652035
oct111772630140
927562407214
109930748000
114236714a58
121b11954794
13c23551264
146a2c9738c
153d1c7dcba
hex24feb3060

9930748000 has 96 divisors (see below), whose sum is σ = 24430835520. Its totient is φ = 3967257600.

The previous prime is 9930747997. The next prime is 9930748007. The reversal of 9930748000 is 8470399.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9930748007) 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, 6171196 + ... + 6172804.

It is an arithmetic number, because the mean of its divisors is an integer number (254487870).

Almost surely, 29930748000 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 9930748000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12215417760).

9930748000 is an abundant number, since it is smaller than the sum of its proper divisors (14500087520).

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

9930748000 is a wasteful number, since it uses less digits than its factorization.

9930748000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3177 (or 3159 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 9930748000 is about 99653.1384352746. The cubic root of 9930748000 is about 2149.4498682608.

The spelling of 9930748000 in words is "nine billion, nine hundred thirty million, seven hundred forty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 1543 1609 2000 3086 3218 4000 6172 6436 7715 8045 12344 12872 15430 16090 24688 25744 30860 32180 38575 40225 49376 51488 61720 64360 77150 80450 123440 128720 154300 160900 192875 201125 246880 257440 308600 321800 385750 402250 617200 643600 771500 804500 1234400 1287200 1543000 1609000 2482687 3086000 3218000 4965374 6172000 6436000 9930748 12413435 19861496 24826870 39722992 49653740 62067175 79445984 99307480 124134350 198614960 248268700 310335875 397229920 496537400 620671750 993074800 1241343500 1986149600 2482687000 4965374000 9930748000