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10330992 = 2432737277
BaseRepresentation
bin100111011010…
…001101110000
3201102212110100
4213122031300
510121042432
61005232400
7153545340
oct47321560
921385410
1010330992
115916911
123562700
1321a9419
14152cd20
15d9107c
hex9da370

10330992 has 120 divisors (see below), whose sum is σ = 34058336. Its totient is φ = 2861568.

The previous prime is 10330961. The next prime is 10331011. The reversal of 10330992 is 29903301.

10330992 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

10330992 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37158 + ... + 37434.

Almost surely, 210330992 is an apocalyptic number.

10330992 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 10330992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17029168).

10330992 is an abundant number, since it is smaller than the sum of its proper divisors (23727344).

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

10330992 is a wasteful number, since it uses less digits than its factorization.

10330992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 10330992 is about 3214.1860555979. The cubic root of 10330992 is about 217.7947173952.

The spelling of 10330992 in words is "ten million, three hundred thirty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 37 42 48 56 63 72 74 84 111 112 126 144 148 168 222 252 259 277 296 333 336 444 504 518 554 592 666 777 831 888 1008 1036 1108 1332 1554 1662 1776 1939 2072 2216 2331 2493 2664 3108 3324 3878 4144 4432 4662 4986 5328 5817 6216 6648 7756 9324 9972 10249 11634 12432 13296 15512 17451 18648 19944 20498 23268 30747 31024 34902 37296 39888 40996 46536 61494 69804 71743 81992 92241 93072 122988 139608 143486 163984 184482 215229 245976 279216 286972 368964 430458 491952 573944 645687 737928 860916 1147888 1291374 1475856 1721832 2582748 3443664 5165496 10330992