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10982034 = 2337171709
BaseRepresentation
bin101001111001…
…001010010010
3202122221112000
4221321022102
510302411114
61031214430
7162226410
oct51711222
922587460
1010982034
116220a68
123817416
13237685b
14165c2b0
15e6de09
hexa79292

10982034 has 64 divisors (see below), whose sum is σ = 29548800. Its totient is φ = 2951424.

The previous prime is 10981987. The next prime is 10982053. The reversal of 10982034 is 43028901.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10981989 and 10982007.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5572 + ... + 7280.

It is an arithmetic number, because the mean of its divisors is an integer number (461700).

Almost surely, 210982034 is an apocalyptic number.

10982034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10982034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14774400).

10982034 is an abundant number, since it is smaller than the sum of its proper divisors (18566766).

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

10982034 is a wasteful number, since it uses less digits than its factorization.

10982034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10982034 is about 3313.9152071228. The cubic root of 10982034 is about 222.2768642112.

The spelling of 10982034 in words is "ten million, nine hundred eighty-two thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 153 189 238 306 357 378 459 714 918 1071 1709 2142 3213 3418 5127 6426 10254 11963 15381 23926 29053 30762 35889 46143 58106 71778 87159 92286 107667 174318 203371 215334 261477 323001 406742 522954 610113 646002 784431 1220226 1568862 1830339 3660678 5491017 10982034