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20130516 = 223271737127
BaseRepresentation
bin100110011001…
…0101011010100
31101212201212200
41030302223110
520123134031
61555244500
7333051360
oct114625324
941781780
1020130516
11103aa39a
1268a9730
13422a963
1429602a0
151b798e6
hex1332ad4

20130516 has 144 divisors (see below), whose sum is σ = 63737856. Its totient is φ = 5225472.

The previous prime is 20130503. The next prime is 20130521. The reversal of 20130516 is 61503102.

20130516 is a `hidden beast` number, since 20 + 130 + 516 = 666.

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 47 ways as a sum of consecutive naturals, for example, 158445 + ... + 158571.

It is an arithmetic number, because the mean of its divisors is an integer number (442624).

Almost surely, 220130516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20130516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31868928).

20130516 is an abundant number, since it is smaller than the sum of its proper divisors (43607340).

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

20130516 is a wasteful number, since it uses less digits than its factorization.

20130516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 193 counting only the distinct ones).

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

The square root of 20130516 is about 4486.7043584350. The cubic root of 20130516 is about 272.0309401079.

Adding to 20130516 its reverse (61503102), we get a palindrome (81633618).

The spelling of 20130516 in words is "twenty million, one hundred thirty thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 37 42 51 63 68 74 84 102 111 119 126 127 148 153 204 222 238 252 254 259 306 333 357 381 444 476 508 518 612 629 666 714 762 777 889 1036 1071 1143 1258 1332 1428 1524 1554 1778 1887 2142 2159 2286 2331 2516 2667 3108 3556 3774 4284 4318 4403 4572 4662 4699 5334 5661 6477 7548 8001 8636 8806 9324 9398 10668 11322 12954 13209 14097 15113 16002 17612 18796 19431 22644 25908 26418 28194 30226 32004 32893 38862 39627 42291 45339 52836 56388 60452 65786 77724 79254 79883 84582 90678 98679 131572 136017 158508 159766 169164 181356 197358 239649 272034 296037 319532 394716 479298 544068 559181 592074 718947 958596 1118362 1184148 1437894 1677543 2236724 2875788 3355086 5032629 6710172 10065258 20130516