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10413860 = 22517109281
BaseRepresentation
bin100111101110…
…011100100100
3201121002010112
4213232130210
510131220420
61011112152
7154342052
oct47563444
921532115
1010413860
1159730a6
1235a2658
132208062
1415511d2
15daa8c5
hex9ee724

10413860 has 48 divisors (see below), whose sum is σ = 23451120. Its totient is φ = 3870720.

The previous prime is 10413857. The next prime is 10413863. The reversal of 10413860 is 6831401.

It is an interprime number because it is at equal distance from previous prime (10413857) and next prime (10413863).

It can be written as a sum of positive squares in 8 ways, for example, as 729316 + 9684544 = 854^2 + 3112^2 .

It is not an unprimeable number, because it can be changed into a prime (10413863) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 36920 + ... + 37200.

It is an arithmetic number, because the mean of its divisors is an integer number (488565).

Almost surely, 210413860 is an apocalyptic number.

10413860 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 10413860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11725560).

10413860 is an abundant number, since it is smaller than the sum of its proper divisors (13037260).

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

10413860 is a wasteful number, since it uses less digits than its factorization.

10413860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 10413860 is about 3227.0512856166. The cubic root of 10413860 is about 218.3754996288.

The spelling of 10413860 in words is "ten million, four hundred thirteen thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 109 170 218 281 340 436 545 562 1090 1124 1405 1853 2180 2810 3706 4777 5620 7412 9265 9554 18530 19108 23885 30629 37060 47770 61258 95540 122516 153145 306290 520693 612580 1041386 2082772 2603465 5206930 10413860