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13312026 = 235721343
BaseRepresentation
bin110010110010…
…000000011010
3221001022200000
4302302000122
511401441101
61153153430
7221102400
oct62620032
927038600
1013312026
117572582
12455b876
1329b1250
141aa7470
15127e486
hexcb201a

13312026 has 144 divisors (see below), whose sum is σ = 38342304. Its totient is φ = 3429216.

The previous prime is 13312021. The next prime is 13312031. The reversal of 13312026 is 62021331.

It is an interprime number because it is at equal distance from previous prime (13312021) and next prime (13312031).

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

It is not an unprimeable number, because it can be changed into a prime (13312021) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 309561 + ... + 309603.

It is an arithmetic number, because the mean of its divisors is an integer number (266266).

Almost surely, 213312026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13312026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19171152).

13312026 is an abundant number, since it is smaller than the sum of its proper divisors (25030278).

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

13312026 is a wasteful number, since it uses less digits than its factorization.

13312026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 13312026 is about 3648.5649233637. The cubic root of 13312026 is about 236.9998397692. Note that the first 3 decimals are identical.

Adding to 13312026 its reverse (62021331), we get a palindrome (75333357).

The spelling of 13312026 in words is "thirteen million, three hundred twelve thousand, twenty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 43 49 54 63 78 81 86 91 98 117 126 129 147 162 182 189 234 243 258 273 294 301 351 378 387 441 486 546 559 567 602 637 702 774 819 882 903 1053 1118 1134 1161 1274 1323 1638 1677 1701 1806 1911 2106 2107 2322 2457 2646 2709 3159 3354 3402 3483 3822 3913 3969 4214 4914 5031 5418 5733 6318 6321 6966 7371 7826 7938 8127 10062 10449 11466 11739 11907 12642 14742 15093 16254 17199 18963 20898 22113 23478 23814 24381 27391 30186 34398 35217 37926 44226 45279 48762 51597 54782 56889 70434 73143 82173 90558 103194 105651 113778 135837 146286 154791 164346 170667 211302 246519 271674 309582 316953 341334 493038 512001 633906 739557 950859 1024002 1479114 1901718 2218671 4437342 6656013 13312026