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21731130 = 2325892713
BaseRepresentation
bin101001011100…
…1011100111010
31111220001111200
41102321130322
521030344010
62053435030
7352466031
oct122713472
944801450
1021731130
11112a2a13
12733ba76
13466b375
142c59718
151d93cc0
hex14b973a

21731130 has 48 divisors (see below), whose sum is σ = 57156840. Its totient is φ = 5727744.

The previous prime is 21731123. The next prime is 21731131. The reversal of 21731130 is 3113712.

It can be written as a sum of positive squares in 4 ways, for example, as 19900521 + 1830609 = 4461^2 + 1353^2 .

It is a super-2 number, since 2×217311302 = 944484022153800, which contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21731131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6654 + ... + 9366.

Almost surely, 221731130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21731130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28578420).

21731130 is an abundant number, since it is smaller than the sum of its proper divisors (35425710).

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

21731130 is a wasteful number, since it uses less digits than its factorization.

21731130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2815 (or 2812 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 21731130 is about 4661.6660112024. Note that the first 3 decimals coincide. The cubic root of 21731130 is about 279.0577596529.

Adding to 21731130 its reverse (3113712), we get a palindrome (24844842).

The spelling of 21731130 in words is "twenty-one million, seven hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 89 90 178 267 445 534 801 890 1335 1602 2670 2713 4005 5426 8010 8139 13565 16278 24417 27130 40695 48834 81390 122085 241457 244170 482914 724371 1207285 1448742 2173113 2414570 3621855 4346226 7243710 10865565 21731130