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10261530 = 23251131009
BaseRepresentation
bin100111001001…
…010000011010
3201022100011200
4213021100122
510111332110
61003535030
7153135666
oct47112032
921270150
1010261530
115879704
12352a476
132183916
1415118a6
15d7a6c0
hex9c941a

10261530 has 48 divisors (see below), whose sum is σ = 26942760. Its totient is φ = 2709504.

The previous prime is 10261529. The next prime is 10261541. The reversal of 10261530 is 3516201.

It can be written as a sum of positive squares in 4 ways, for example, as 4076361 + 6185169 = 2019^2 + 2487^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9666 + ... + 10674.

Almost surely, 210261530 is an apocalyptic number.

10261530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10261530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13471380).

10261530 is an abundant number, since it is smaller than the sum of its proper divisors (16681230).

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

10261530 is a wasteful number, since it uses less digits than its factorization.

10261530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 10261530 is about 3203.3622960883. The cubic root of 10261530 is about 217.3054939646.

Adding to 10261530 its reverse (3516201), we get a palindrome (13777731).

It can be divided in two parts, 1026 and 1530, that added together give a triangular number (2556 = T71).

The spelling of 10261530 in words is "ten million, two hundred sixty-one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 113 226 339 565 678 1009 1017 1130 1695 2018 2034 3027 3390 5045 5085 6054 9081 10090 10170 15135 18162 30270 45405 90810 114017 228034 342051 570085 684102 1026153 1140170 1710255 2052306 3420510 5130765 10261530