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20135412 = 22331117997
BaseRepresentation
bin100110011001…
…1110111110100
31101212222121000
41030303313310
520123313122
61555323300
7333101553
oct114636764
941788530
1020135412
1110403040
1268b0530
13422cc5b
142961d9a
151b7b0ac
hex1333df4

20135412 has 96 divisors (see below), whose sum is σ = 60359040. Its totient is φ = 5736960.

The previous prime is 20135377. The next prime is 20135431. The reversal of 20135412 is 21453102.

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 31 ways as a sum of consecutive naturals, for example, 19698 + ... + 20694.

It is an arithmetic number, because the mean of its divisors is an integer number (628740).

Almost surely, 220135412 is an apocalyptic number.

20135412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20135412 is the 2244-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20135412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30179520).

20135412 is an abundant number, since it is smaller than the sum of its proper divisors (40223628).

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

20135412 is a wasteful number, since it uses less digits than its factorization.

20135412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1030 counting only the distinct ones).

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

The square root of 20135412 is about 4487.2499373224. The cubic root of 20135412 is about 272.0529921262.

Adding to 20135412 its reverse (21453102), we get a palindrome (41588514).

The spelling of 20135412 in words is "twenty million, one hundred thirty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 68 99 102 108 132 153 187 198 204 297 306 374 396 459 561 594 612 748 918 997 1122 1188 1683 1836 1994 2244 2991 3366 3988 5049 5982 6732 8973 10098 10967 11964 16949 17946 20196 21934 26919 32901 33898 35892 43868 50847 53838 65802 67796 98703 101694 107676 131604 152541 186439 197406 203388 296109 305082 372878 394812 457623 559317 592218 610164 745756 915246 1118634 1184436 1677951 1830492 2237268 3355902 5033853 6711804 10067706 20135412