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10114804 = 2273143271
BaseRepresentation
bin100110100101…
…011011110100
3201000212220101
4212211123310
510042133204
61000443444
7151655140
oct46453364
921025811
1010114804
115789447
123479584
132131bbb
1414b4220
15d4bea4
hex9a56f4

10114804 has 48 divisors (see below), whose sum is σ = 21446656. Its totient is φ = 4082400.

The previous prime is 10114799. The next prime is 10114829. The reversal of 10114804 is 40841101.

10114804 = T21 + T22 + ... + T392.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37189 + ... + 37459.

Almost surely, 210114804 is an apocalyptic number.

10114804 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 10114804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10723328).

10114804 is an abundant number, since it is smaller than the sum of its proper divisors (11331852).

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

10114804 is a wasteful number, since it uses less digits than its factorization.

10114804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 10114804 is about 3180.3779649595. The cubic root of 10114804 is about 216.2647930005.

Adding to 10114804 its reverse (40841101), we get a palindrome (50955905).

The spelling of 10114804 in words is "ten million, one hundred fourteen thousand, eight hundred four".

Divisors: 1 2 4 7 14 28 31 43 62 86 124 172 217 271 301 434 542 602 868 1084 1204 1333 1897 2666 3794 5332 7588 8401 9331 11653 16802 18662 23306 33604 37324 46612 58807 81571 117614 163142 235228 326284 361243 722486 1444972 2528701 5057402 10114804