Search a number
-
+
10094592 = 21133153
BaseRepresentation
bin100110100000…
…100000000000
3200222212011210
4212200200000
510041011332
61000210120
7151542204
oct46404000
920885153
1010094592
115775242
123469940
132125941
1414aab04
15d45ecc
hex9a0800

10094592 has 96 divisors (see below), whose sum is σ = 28304640. Its totient is φ = 3194880.

The previous prime is 10094587. The next prime is 10094593. The reversal of 10094592 is 29549001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (10094593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190438 + ... + 190490.

It is an arithmetic number, because the mean of its divisors is an integer number (294840).

Almost surely, 210094592 is an apocalyptic number.

10094592 is a gapful number since it is divisible by the number (12) 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 10094592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152320).

10094592 is an abundant number, since it is smaller than the sum of its proper divisors (18210048).

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

10094592 is an equidigital number, since it uses as much as digits as its factorization.

10094592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 10094592 is about 3177.1987662090. The cubic root of 10094592 is about 216.1206459071.

The spelling of 10094592 in words is "ten million, ninety-four thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 53 62 64 93 96 106 124 128 159 186 192 212 248 256 318 372 384 424 496 512 636 744 768 848 992 1024 1272 1488 1536 1643 1696 1984 2048 2544 2976 3072 3286 3392 3968 4929 5088 5952 6144 6572 6784 7936 9858 10176 11904 13144 13568 15872 19716 20352 23808 26288 27136 31744 39432 40704 47616 52576 54272 63488 78864 81408 95232 105152 108544 157728 162816 190464 210304 315456 325632 420608 630912 841216 1261824 1682432 2523648 3364864 5047296 10094592