Search a number
-
+
5140205112 = 23371031272339
BaseRepresentation
bin1001100100110000…
…10100111000111000
3111021020012110211010
410302120110320320
541011343030422
62210020233520
7241244010510
oct46230247070
914236173733
105140205112
1121a856a1a9
12bb553b8a0
1363bc0b3b3
1436a95a840
152013edb0c
hex132614e38

5140205112 has 128 divisors (see below), whose sum is σ = 14952038400. Its totient is φ = 1442302848.

The previous prime is 5140205107. The next prime is 5140205113. The reversal of 5140205112 is 2115020415.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5140205113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2196439 + ... + 2198777.

It is an arithmetic number, because the mean of its divisors is an integer number (116812800).

Almost surely, 25140205112 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 5140205112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7476019200).

5140205112 is an abundant number, since it is smaller than the sum of its proper divisors (9811833288).

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

5140205112 is a wasteful number, since it uses less digits than its factorization.

5140205112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2585 (or 2581 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 5140205112 is about 71695.2237739726. The cubic root of 5140205112 is about 1725.8119946123.

Adding to 5140205112 its reverse (2115020415), we get a palindrome (7255225527).

The spelling of 5140205112 in words is "five billion, one hundred forty million, two hundred five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 103 127 168 206 254 309 381 412 508 618 721 762 824 889 1016 1236 1442 1524 1778 2163 2339 2472 2667 2884 3048 3556 4326 4678 5334 5768 7017 7112 8652 9356 10668 13081 14034 16373 17304 18712 21336 26162 28068 32746 39243 49119 52324 56136 65492 78486 91567 98238 104648 130984 156972 183134 196476 240917 274701 297053 313944 366268 392952 481834 549402 594106 722751 732536 891159 963668 1098804 1188212 1445502 1686419 1782318 1927336 2079371 2197608 2376424 2891004 3372838 3564636 4158742 5059257 5782008 6238113 6745676 7129272 8317484 10118514 12476226 13491352 16634968 20237028 24952452 30596459 40474056 49904904 61192918 91789377 122385836 183578754 214175213 244771672 367157508 428350426 642525639 734315016 856700852 1285051278 1713401704 2570102556 5140205112