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10013272 = 231726171
BaseRepresentation
bin100110001100…
…101001011000
3200211201121221
4212030221120
510030411042
6554341424
7151053133
oct46145130
920751557
1010013272
11571a135
12342a874
1320c7919
14148921a
15d2bd67
hex98ca58

10013272 has 48 divisors (see below), whose sum is σ = 20556720. Its totient is φ = 4569600.

The previous prime is 10013243. The next prime is 10013287. The reversal of 10013272 is 27231001.

It is a happy number.

It is a super-2 number, since 2×100132722 = 200531232291968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140997 + ... + 141067.

It is an arithmetic number, because the mean of its divisors is an integer number (428265).

Almost surely, 210013272 is an apocalyptic number.

It is an amenable number.

10013272 is an abundant number, since it is smaller than the sum of its proper divisors (10543448).

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

10013272 is a wasteful number, since it uses less digits than its factorization.

10013272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 10013272 is about 3164.3754518072. The cubic root of 10013272 is about 215.5387390588.

Adding to 10013272 its reverse (27231001), we get a palindrome (37244273).

The spelling of 10013272 in words is "ten million, thirteen thousand, two hundred seventy-two".

Divisors: 1 2 4 8 17 34 61 68 71 122 136 142 244 284 289 488 568 578 1037 1156 1207 2074 2312 2414 4148 4331 4828 8296 8662 9656 17324 17629 20519 34648 35258 41038 70516 73627 82076 141032 147254 164152 294508 589016 1251659 2503318 5006636 10013272