Search a number
-
+
9096930 = 2325611657
BaseRepresentation
bin100010101100…
…111011100010
3122010011122100
4202230323202
54312100210
6522551230
7140215443
oct42547342
918104570
109096930
115153727
123068516
131b667cb
1412cb2ca
15bea5c0
hex8acee2

9096930 has 48 divisors (see below), whose sum is σ = 24054264. Its totient is φ = 2384640.

The previous prime is 9096917. The next prime is 9096947. The reversal of 9096930 is 396909.

9096930 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3884841 + 5212089 = 1971^2 + 2283^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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, 4662 + ... + 6318.

Almost surely, 29096930 is an apocalyptic number.

9096930 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9096930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12027132).

9096930 is an abundant number, since it is smaller than the sum of its proper divisors (14957334).

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

9096930 is a wasteful number, since it uses less digits than its factorization.

9096930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1731 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The square root of 9096930 is about 3016.1117353308. Note that the first 3 decimals coincide. The cubic root of 9096930 is about 208.7524674909.

It can be divided in two parts, 90 and 96930, that added together give a triangular number (97020 = T440).

The spelling of 9096930 in words is "nine million, ninety-six thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 549 610 915 1098 1657 1830 2745 3314 4971 5490 8285 9942 14913 16570 24855 29826 49710 74565 101077 149130 202154 303231 505385 606462 909693 1010770 1516155 1819386 3032310 4548465 9096930