Search a number
-
+
9730900 = 2252314373
BaseRepresentation
bin100101000111…
…101101010100
3200022101021201
4211013231110
54442342100
6544322244
7145465654
oct45075524
920271251
109730900
115546a73
123313384
13202923a
141414364
15cc336a
hex947b54

9730900 has 72 divisors (see below), whose sum is σ = 22609664. Its totient is φ = 3628800.

The previous prime is 9730883. The next prime is 9730913. The reversal of 9730900 is 90379.

9730900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133264 + ... + 133336.

Almost surely, 29730900 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 9730900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11304832).

9730900 is an abundant number, since it is smaller than the sum of its proper divisors (12878764).

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

9730900 is a wasteful number, since it uses less digits than its factorization.

9730900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1701, while the sum is 28.

The square root of 9730900 is about 3119.4390521374. The cubic root of 9730900 is about 213.4933424130.

The spelling of 9730900 in words is "nine million, seven hundred thirty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 31 43 50 62 73 86 100 124 146 155 172 215 292 310 365 430 620 730 775 860 1075 1333 1460 1550 1825 2150 2263 2666 3100 3139 3650 4300 4526 5332 6278 6665 7300 9052 11315 12556 13330 15695 22630 26660 31390 33325 45260 56575 62780 66650 78475 97309 113150 133300 156950 194618 226300 313900 389236 486545 973090 1946180 2432725 4865450 9730900