Search a number
-
+
10094784 = 263722937
BaseRepresentation
bin100110100000…
…100011000000
3200222212102220
4212200203000
510041013114
61000211040
7151542600
oct46404300
920885386
1010094784
1157753a7
123469a80
132125a5b
1414aac00
15d460a9
hex9a08c0

10094784 has 168 divisors, whose sum is σ = 33009840. Its totient is φ = 2709504.

The previous prime is 10094783. The next prime is 10094797. The reversal of 10094784 is 48749001.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10094783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272814 + ... + 272850.

Almost surely, 210094784 is an apocalyptic number.

10094784 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10094784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16504920).

10094784 is an abundant number, since it is smaller than the sum of its proper divisors (22915056).

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

10094784 is a wasteful number, since it uses less digits than its factorization.

10094784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 10094784 is about 3177.2289813610. The cubic root of 10094784 is about 216.1220161094.

It can be divided in two parts, 10094 and 784, that added together give a triangular number (10878 = T147).

The spelling of 10094784 in words is "ten million, ninety-four thousand, seven hundred eighty-four".