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103413520 = 24572233137
BaseRepresentation
bin1100010100111…
…11011100010000
321012120221200101
412022133130100
5202433213040
614132302144
72364000100
oct612373420
9235527611
10103413520
1153413121
122a771954
131856a442
14da3d200
15912b09a
hex629f710

103413520 has 240 divisors, whose sum is σ = 309408768. Its totient is φ = 31933440.

The previous prime is 103413517. The next prime is 103413571. The reversal of 103413520 is 25314301.

It is a super-2 number, since 2×1034135202 = 21388712237580800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2794942 + ... + 2794978.

Almost surely, 2103413520 is an apocalyptic number.

103413520 is a gapful number since it is divisible by the number (10) 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 103413520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154704384).

103413520 is an abundant number, since it is smaller than the sum of its proper divisors (205995248).

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

103413520 is a wasteful number, since it uses less digits than its factorization.

103413520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 103413520 is about 10169.2438263619. The cubic root of 103413520 is about 469.3812893993.

Adding to 103413520 its reverse (25314301), we get a palindrome (128727821).

It can be divided in two parts, 10341 and 3520, that added together give a triangular number (13861 = T166).

The spelling of 103413520 in words is "one hundred three million, four hundred thirteen thousand, five hundred twenty".