Search a number
-
+
10613540 = 2257471613
BaseRepresentation
bin101000011111…
…001100100100
3201222020001002
4220133030210
510204113130
61015252432
7156133160
oct50371444
921866032
1010613540
115a9a123
12367a118
132277c02
1415a3ca0
15de9b45
hexa1f324

10613540 has 48 divisors (see below), whose sum is σ = 26030592. Its totient is φ = 3559296.

The previous prime is 10613521. The next prime is 10613549. The reversal of 10613540 is 4531601.

It is a super-2 number, since 2×106135402 = 225294462663200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10613549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5774 + ... + 7386.

It is an arithmetic number, because the mean of its divisors is an integer number (542304).

Almost surely, 210613540 is an apocalyptic number.

10613540 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 10613540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13015296).

10613540 is an abundant number, since it is smaller than the sum of its proper divisors (15417052).

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

10613540 is a wasteful number, since it uses less digits than its factorization.

10613540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 10613540 is about 3257.8428445829. The cubic root of 10613540 is about 219.7624156946.

The spelling of 10613540 in words is "ten million, six hundred thirteen thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 235 329 470 658 940 1316 1613 1645 3226 3290 6452 6580 8065 11291 16130 22582 32260 45164 56455 75811 112910 151622 225820 303244 379055 530677 758110 1061354 1516220 2122708 2653385 5306770 10613540