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10534032 = 2432191383
BaseRepresentation
bin101000001011…
…110010010000
3201211011222100
4220023302100
510144042112
61013440400
7155352315
oct50136220
921734870
1010534032
115a45413
123640100
13224a972
141582d0c
15dd12dc
hexa0bc90

10534032 has 60 divisors (see below), whose sum is σ = 29712384. Its totient is φ = 3483840.

The previous prime is 10534031. The next prime is 10534039. The reversal of 10534032 is 23043501.

It is a super-2 number, since 2×105340322 = 221931660354048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10533996 and 10534014.

It is not an unprimeable number, because it can be changed into a prime (10534031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27313 + ... + 27695.

Almost surely, 210534032 is an apocalyptic number.

10534032 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 10534032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14856192).

10534032 is an abundant number, since it is smaller than the sum of its proper divisors (19178352).

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

10534032 is a wasteful number, since it uses less digits than its factorization.

10534032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 10534032 is about 3245.6173526773. The cubic root of 10534032 is about 219.2122793128.

Adding to 10534032 its reverse (23043501), we get a palindrome (33577533).

The spelling of 10534032 in words is "ten million, five hundred thirty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 191 382 383 573 764 766 1146 1149 1528 1532 1719 2292 2298 3056 3064 3438 3447 4584 4596 6128 6876 6894 9168 9192 13752 13788 18384 27504 27576 55152 73153 146306 219459 292612 438918 585224 658377 877836 1170448 1316754 1755672 2633508 3511344 5267016 10534032