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10336992 = 253294779
BaseRepresentation
bin100111011011…
…101011100000
3201110011200120
4213123223200
510121240432
61005320240
7153602001
oct47335340
921404616
1010336992
115920376
123566080
1321ac083
1415311a8
15d92c2c
hex9dbae0

10336992 has 96 divisors (see below), whose sum is σ = 29030400. Its totient is φ = 3214848.

The previous prime is 10336987. The next prime is 10336993. The reversal of 10336992 is 29963301.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10336993) by changing a digit.

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, 130809 + ... + 130887.

It is an arithmetic number, because the mean of its divisors is an integer number (302400).

Almost surely, 210336992 is an apocalyptic number.

10336992 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 10336992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14515200).

10336992 is an abundant number, since it is smaller than the sum of its proper divisors (18693408).

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

10336992 is a wasteful number, since it uses less digits than its factorization.

10336992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 33.

The square root of 10336992 is about 3215.1192823906. The cubic root of 10336992 is about 217.8368726050.

The spelling of 10336992 in words is "ten million, three hundred thirty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 47 48 58 79 87 94 96 116 141 158 174 188 232 237 282 316 348 376 464 474 564 632 696 752 928 948 1128 1264 1363 1392 1504 1896 2256 2291 2528 2726 2784 3713 3792 4089 4512 4582 5452 6873 7426 7584 8178 9164 10904 11139 13746 14852 16356 18328 21808 22278 27492 29704 32712 36656 43616 44556 54984 59408 65424 73312 89112 107677 109968 118816 130848 178224 215354 219936 323031 356448 430708 646062 861416 1292124 1722832 2584248 3445664 5168496 10336992