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10415412 = 2233723599
BaseRepresentation
bin100111101110…
…110100110100
3201121011021000
4213232310310
510131243122
61011123300
7154346430
oct47566464
921534230
1010415412
115974287
1235a3530
132208987
1415519c0
15dab0ac
hex9eed34

10415412 has 96 divisors (see below), whose sum is σ = 32256000. Its totient is φ = 2841696.

The previous prime is 10415387. The next prime is 10415413. The reversal of 10415412 is 21451401.

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 (10415413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17089 + ... + 17687.

It is an arithmetic number, because the mean of its divisors is an integer number (336000).

Almost surely, 210415412 is an apocalyptic number.

10415412 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 10415412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16128000).

10415412 is an abundant number, since it is smaller than the sum of its proper divisors (21840588).

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

10415412 is a wasteful number, since it uses less digits than its factorization.

10415412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 10415412 is about 3227.2917438620. The cubic root of 10415412 is about 218.3863474137.

Adding to 10415412 its reverse (21451401), we get a palindrome (31866813).

The spelling of 10415412 in words is "ten million, four hundred fifteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 27 28 36 42 46 54 63 69 84 92 108 126 138 161 189 207 252 276 322 378 414 483 599 621 644 756 828 966 1198 1242 1449 1797 1932 2396 2484 2898 3594 4193 4347 5391 5796 7188 8386 8694 10782 12579 13777 16173 16772 17388 21564 25158 27554 32346 37737 41331 50316 55108 64692 75474 82662 96439 113211 123993 150948 165324 192878 226422 247986 289317 371979 385756 452844 495972 578634 743958 867951 1157268 1487916 1735902 2603853 3471804 5207706 10415412