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10532214 = 23371117149
BaseRepresentation
bin101000001011…
…010101110110
3201211002111000
4220023111312
510144012324
61013424130
7155344110
oct50132566
921732430
1010532214
115a44010
12363b046
132249ba4
1415823b0
15dd09c9
hexa0b576

10532214 has 128 divisors (see below), whose sum is σ = 31104000. Its totient is φ = 2557440.

The previous prime is 10532177. The next prime is 10532227. The reversal of 10532214 is 41223501.

10532214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105322142 = 221855063483592, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70612 + ... + 70760.

It is an arithmetic number, because the mean of its divisors is an integer number (243000).

Almost surely, 210532214 is an apocalyptic number.

10532214 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 10532214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15552000).

10532214 is an abundant number, since it is smaller than the sum of its proper divisors (20571786).

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

10532214 is a wasteful number, since it uses less digits than its factorization.

10532214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 10532214 is about 3245.3372706084. The cubic root of 10532214 is about 219.1996677806.

Adding to 10532214 its reverse (41223501), we get a palindrome (51755715).

The spelling of 10532214 in words is "ten million, five hundred thirty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 17 18 21 22 27 33 34 42 51 54 63 66 77 99 102 119 126 149 153 154 187 189 198 231 238 297 298 306 357 374 378 447 459 462 561 594 693 714 894 918 1043 1071 1122 1309 1341 1386 1639 1683 2079 2086 2142 2533 2618 2682 3129 3213 3278 3366 3927 4023 4158 4917 5049 5066 6258 6426 7599 7854 8046 9387 9834 10098 11473 11781 14751 15198 17731 18774 22797 22946 23562 27863 28161 29502 34419 35343 35462 44253 45594 53193 55726 56322 68391 68838 70686 83589 88506 103257 106386 136782 159579 167178 195041 206514 250767 309771 319158 390082 478737 501534 585123 619542 752301 957474 1170246 1504602 1755369 3510738 5266107 10532214