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103412688 = 24383101257
BaseRepresentation
bin1100010100111…
…11001111010000
321012120220112120
412022133033100
5202433201223
614132254240
72363664501
oct612371720
9235526476
10103412688
1153412535
122a771380
1318569c52
14da3cba8
15912abe3
hex629f3d0

103412688 has 80 divisors (see below), whose sum is σ = 274107456. Its totient is φ = 33587200.

The previous prime is 103412657. The next prime is 103412689. The reversal of 103412688 is 886214301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103412689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 402256 + ... + 402512.

Almost surely, 2103412688 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 103412688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137053728).

103412688 is an abundant number, since it is smaller than the sum of its proper divisors (170694768).

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

103412688 is a wasteful number, since it uses less digits than its factorization.

103412688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 103412688 is about 10169.2029186166. The cubic root of 103412688 is about 469.3800306139.

Adding to 103412688 its reverse (886214301), we get a palindrome (989626989).

The spelling of 103412688 in words is "one hundred three million, four hundred twelve thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 101 166 202 249 257 303 332 404 498 514 606 664 771 808 996 1028 1212 1328 1542 1616 1992 2056 2424 3084 3984 4112 4848 6168 8383 12336 16766 21331 25149 25957 33532 42662 50298 51914 63993 67064 77871 85324 100596 103828 127986 134128 155742 170648 201192 207656 255972 311484 341296 402384 415312 511944 622968 1023888 1245936 2154431 4308862 6463293 8617724 12926586 17235448 25853172 34470896 51706344 103412688