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10534212 = 2234134161
BaseRepresentation
bin101000001011…
…110101000100
3201211012020000
4220023311010
510144043322
61013441300
7155352663
oct50136504
921735200
1010534212
115a45567
123640230
13224aa80
141582dda
15dd13ac
hexa0bd44

10534212 has 120 divisors (see below), whose sum is σ = 30878232. Its totient is φ = 3110400.

The previous prime is 10534211. The next prime is 10534231. The reversal of 10534212 is 21243501.

It can be written as a sum of positive squares in 4 ways, for example, as 1498176 + 9036036 = 1224^2 + 3006^2 .

It is a super-2 number, since 2×105342122 = 221939244921888, 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 not an unprimeable number, because it can be changed into a prime (10534211) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 172662 + ... + 172722.

Almost surely, 210534212 is an apocalyptic number.

10534212 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 10534212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15439116).

10534212 is an abundant number, since it is smaller than the sum of its proper divisors (20344020).

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

10534212 is a wasteful number, since it uses less digits than its factorization.

10534212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 120 counting only the distinct ones).

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

The square root of 10534212 is about 3245.6450822602. The cubic root of 10534212 is about 219.2135279004.

Adding to 10534212 its reverse (21243501), we get a palindrome (31777713).

It can be divided in two parts, 1053 and 4212, that multiplied together give a square (4435236 = 21062).

The spelling of 10534212 in words is "ten million, five hundred thirty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 41 52 54 61 78 81 82 108 117 122 123 156 162 164 183 234 244 246 324 351 366 369 468 492 533 549 702 732 738 793 1053 1066 1098 1107 1404 1476 1586 1599 1647 2106 2132 2196 2214 2379 2501 3172 3198 3294 3321 4212 4428 4758 4797 4941 5002 6396 6588 6642 7137 7503 9516 9594 9882 10004 13284 14274 14391 15006 19188 19764 21411 22509 28548 28782 30012 32513 42822 43173 45018 57564 64233 65026 67527 85644 86346 90036 97539 128466 130052 135054 172692 195078 202581 256932 270108 292617 390156 405162 585234 810324 877851 1170468 1755702 2633553 3511404 5267106 10534212