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10492104 = 2337192173
BaseRepresentation
bin101000000001…
…100011001000
3201202001110110
4220001203020
510141221404
61012514320
7155116140
oct50014310
921661413
1010492104
115a16967
12361b9a0
13223485c
141571920
15dc3b89
hexa018c8

10492104 has 96 divisors (see below), whose sum is σ = 31821120. Its totient is φ = 2823552.

The previous prime is 10492091. The next prime is 10492159. The reversal of 10492104 is 40129401.

It is a super-2 number, since 2×104921042 = 220168492693632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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, 60562 + ... + 60734.

It is an arithmetic number, because the mean of its divisors is an integer number (331470).

Almost surely, 210492104 is an apocalyptic number.

10492104 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 10492104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15910560).

10492104 is an abundant number, since it is smaller than the sum of its proper divisors (21329016).

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

10492104 is a wasteful number, since it uses less digits than its factorization.

10492104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 10492104 is about 3239.1517408112. The cubic root of 10492104 is about 218.9210532563.

The spelling of 10492104 in words is "ten million, four hundred ninety-two thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 173 228 266 346 361 399 456 519 532 692 722 798 1038 1064 1083 1211 1384 1444 1596 2076 2166 2422 2527 2888 3192 3287 3633 4152 4332 4844 5054 6574 7266 7581 8664 9688 9861 10108 13148 14532 15162 19722 20216 23009 26296 29064 30324 39444 46018 60648 62453 69027 78888 92036 124906 138054 184072 187359 249812 276108 374718 437171 499624 552216 749436 874342 1311513 1498872 1748684 2623026 3497368 5246052 10492104