Search a number
-
+
907230906 = 232234634733
BaseRepresentation
bin110110000100110…
…011111010111010
32100020010002211200
4312010303322322
53324222342111
6230005035030
731324223031
oct6604637272
92306102750
10907230906
1142612100a
122139b5a76
13115c58a2a
14886bd718
15549a9256
hex36133eba

907230906 has 48 divisors (see below), whose sum is σ = 2055995136. Its totient is φ = 288576288.

The previous prime is 907230893. The next prime is 907230913. The reversal of 907230906 is 609032709.

907230906 is a nontrivial binomial coefficient, being equal to C(42597, 2).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189316 + ... + 194048.

It is an arithmetic number, because the mean of its divisors is an integer number (42833232).

Almost surely, 2907230906 is an apocalyptic number.

907230906 is the 42596-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 907230906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027997568).

907230906 is an abundant number, since it is smaller than the sum of its proper divisors (1148764230).

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

907230906 is a wasteful number, since it uses less digits than its factorization.

907230906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5227 (or 5224 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 907230906 is about 30120.2740027378. The cubic root of 907230906 is about 968.0681805732.

The spelling of 907230906 in words is "nine hundred seven million, two hundred thirty thousand, nine hundred six".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 463 926 1389 2778 4167 4733 8334 9466 10649 14199 21298 28398 31947 42597 63894 85194 95841 108859 191682 217718 326577 653154 979731 1959462 2191379 4382758 6574137 13148274 19722411 39444822 50401717 100803434 151205151 302410302 453615453 907230906