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10293492 = 22311292689
BaseRepresentation
bin100111010001…
…000011110100
3201100222000110
4213101003310
510113342432
61004343020
7153331116
oct47210364
921328013
1010293492
1158a0720
123544a70
132195331
14151d3b6
15d84dcc
hex9d10f4

10293492 has 48 divisors (see below), whose sum is σ = 27115200. Its totient is φ = 3010560.

The previous prime is 10293487. The next prime is 10293499. The reversal of 10293492 is 29439201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10293499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2484 + ... + 5172.

It is an arithmetic number, because the mean of its divisors is an integer number (564900).

Almost surely, 210293492 is an apocalyptic number.

10293492 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 10293492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13557600).

10293492 is an abundant number, since it is smaller than the sum of its proper divisors (16821708).

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

10293492 is a wasteful number, since it uses less digits than its factorization.

10293492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2736 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 10293492 is about 3208.3472380651. The cubic root of 10293492 is about 217.5308768425.

The spelling of 10293492 in words is "ten million, two hundred ninety-three thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 957 1276 1914 2689 3828 5378 8067 10756 16134 29579 32268 59158 77981 88737 118316 155962 177474 233943 311924 354948 467886 857791 935772 1715582 2573373 3431164 5146746 10293492