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201410412 = 223719971301
BaseRepresentation
bin11000000000101…
…00011101101100
3112000222201010220
430000110131230
5403030113122
631552531340
74663650240
oct1400243554
9460881126
10201410412
11a3766695
1257550b50
133295c278
141ca6c420
1512a3725c
hexc01476c

201410412 has 96 divisors (see below), whose sum is σ = 571630080. Its totient is φ = 53913600.

The previous prime is 201410387. The next prime is 201410437. The reversal of 201410412 is 214014102.

It is an interprime number because it is at equal distance from previous prime (201410387) and next prime (201410437).

It is a junction number, because it is equal to n+sod(n) for n = 201410391 and 201410400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154162 + ... + 155462.

It is an arithmetic number, because the mean of its divisors is an integer number (5954480).

Almost surely, 2201410412 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 201410412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285815040).

201410412 is an abundant number, since it is smaller than the sum of its proper divisors (370219668).

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

201410412 is a wasteful number, since it uses less digits than its factorization.

201410412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 201410412 is about 14191.9136130403. The cubic root of 201410412 is about 586.1750186805.

Adding to 201410412 its reverse (214014102), we get a palindrome (415424514).

The spelling of 201410412 in words is "two hundred one million, four hundred ten thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 97 114 133 194 228 266 291 388 399 532 582 679 798 1164 1301 1358 1596 1843 2037 2602 2716 3686 3903 4074 5204 5529 7372 7806 8148 9107 11058 12901 15612 18214 22116 24719 25802 27321 36428 38703 49438 51604 54642 74157 77406 98876 109284 126197 148314 154812 173033 252394 296628 346066 378591 504788 519099 692132 757182 883379 1038198 1514364 1766758 2076396 2397743 2650137 3533516 4795486 5300274 7193229 9590972 10600548 14386458 16784201 28772916 33568402 50352603 67136804 100705206 201410412