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10014032 = 247253241
BaseRepresentation
bin100110001100…
…110101010000
3200211202200002
4212030311100
510030422112
6554345132
7151055300
oct46146520
920752602
1010014032
11571a766
12342b1a8
1320c8082
141489600
15d2c1c2
hex98cd50

10014032 has 60 divisors (see below), whose sum is σ = 23091156. Its totient is φ = 4193280.

The previous prime is 10014031. The next prime is 10014079. The reversal of 10014032 is 23041001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7376656 + 2637376 = 2716^2 + 1624^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10014031) 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, 41432 + ... + 41672.

Almost surely, 210014032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10014032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11545578).

10014032 is an abundant number, since it is smaller than the sum of its proper divisors (13077124).

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

10014032 is a wasteful number, since it uses less digits than its factorization.

10014032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 10014032 is about 3164.4955364165. The cubic root of 10014032 is about 215.5441919983.

Adding to 10014032 its reverse (23041001), we get a palindrome (33055033).

The spelling of 10014032 in words is "ten million, fourteen thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 49 53 56 98 106 112 196 212 241 371 392 424 482 742 784 848 964 1484 1687 1928 2597 2968 3374 3856 5194 5936 6748 10388 11809 12773 13496 20776 23618 25546 26992 41552 47236 51092 89411 94472 102184 178822 188944 204368 357644 625877 715288 1251754 1430576 2503508 5007016 10014032