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20516130 = 23253761101
BaseRepresentation
bin100111001000…
…0110100100010
31102121022211200
41032100310202
520223004010
62011422030
7336245535
oct116206442
942538750
1020516130
1110643088
126a54916
13433432b
142a20a1c
151c03cc0
hex1390d22

20516130 has 96 divisors (see below), whose sum is σ = 56233008. Its totient is φ = 5184000.

The previous prime is 20516123. The next prime is 20516147. The reversal of 20516130 is 3161502.

20516130 is a `hidden beast` number, since 2 + 0 + 51 + 613 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 13242321 + 7273809 = 3639^2 + 2697^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203080 + ... + 203180.

Almost surely, 220516130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20516130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28116504).

20516130 is an abundant number, since it is smaller than the sum of its proper divisors (35716878).

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

20516130 is a wasteful number, since it uses less digits than its factorization.

20516130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 209 counting only the distinct ones).

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

The square root of 20516130 is about 4529.4734793351. The cubic root of 20516130 is about 273.7569460926.

Adding to 20516130 its reverse (3161502), we get a palindrome (23677632).

The spelling of 20516130 in words is "twenty million, five hundred sixteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 61 74 90 101 111 122 183 185 202 222 303 305 333 366 370 505 549 555 606 610 666 909 915 1010 1098 1110 1515 1665 1818 1830 2257 2745 3030 3330 3737 4514 4545 5490 6161 6771 7474 9090 11211 11285 12322 13542 18483 18685 20313 22422 22570 30805 33633 33855 36966 37370 40626 55449 56055 61610 67266 67710 92415 101565 110898 112110 168165 184830 203130 227957 277245 336330 455914 554490 683871 1139785 1367742 2051613 2279570 3419355 4103226 6838710 10258065 20516130