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10088532 = 2232713947
BaseRepresentation
bin100110011111…
…000001010100
3200222112212100
4212133001110
510040313112
61000122100
7151515426
oct46370124
920875770
1010088532
115770733
123466330
132122c5c
1414a8816
15d442dc
hex99f054

10088532 has 36 divisors (see below), whose sum is σ = 25867296. Its totient is φ = 3314640.

The previous prime is 10088509. The next prime is 10088557. The reversal of 10088532 is 23588001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 10088496 and 10088505.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 583 + ... + 4529.

It is an arithmetic number, because the mean of its divisors is an integer number (718536).

Almost surely, 210088532 is an apocalyptic number.

10088532 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 10088532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12933648).

10088532 is an abundant number, since it is smaller than the sum of its proper divisors (15778764).

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

10088532 is a wasteful number, since it uses less digits than its factorization.

10088532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4028 (or 4023 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 10088532 is about 3176.2449527705. The cubic root of 10088532 is about 216.0773899644.

The spelling of 10088532 in words is "ten million, eighty-eight thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 2556 3947 7894 11841 15788 23682 35523 47364 71046 142092 280237 560474 840711 1120948 1681422 2522133 3362844 5044266 10088532