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5742105660 = 2233513777617
BaseRepresentation
bin1010101100100000…
…11001010000111100
3112211011210012011000
411112100121100330
543224434340120
62345441130300
7262203043554
oct52620312074
915734705130
105742105660
1124872a5a75
121143029990
13706821075
143c687a164
15239194990
hex15641943c

5742105660 has 96 divisors (see below), whose sum is σ = 17994957120. Its totient is φ = 1520031744.

The previous prime is 5742105587. The next prime is 5742105661. The reversal of 5742105660 is 665012475.

It is a happy number.

5742105660 is a `hidden beast` number, since 5 + 74 + 21 + 0 + 566 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5742105661) 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, 35172 + ... + 112788.

It is an arithmetic number, because the mean of its divisors is an integer number (187447470).

Almost surely, 25742105660 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 5742105660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8997478560).

5742105660 is an abundant number, since it is smaller than the sum of its proper divisors (12252851460).

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

5742105660 is a wasteful number, since it uses less digits than its factorization.

5742105660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77772 (or 77764 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5742105660 is about 75776.6828252596. The cubic root of 5742105660 is about 1790.7036818034.

The spelling of 5742105660 in words is "five billion, seven hundred forty-two million, one hundred five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 137 180 270 274 411 540 548 685 822 1233 1370 1644 2055 2466 2740 3699 4110 4932 6165 7398 8220 12330 14796 18495 24660 36990 73980 77617 155234 232851 310468 388085 465702 698553 776170 931404 1164255 1397106 1552340 2095659 2328510 2794212 3492765 4191318 4657020 6985530 8382636 10478295 10633529 13971060 20956590 21267058 31900587 41913180 42534116 53167645 63801174 95701761 106335290 127602348 159502935 191403522 212670580 287105283 319005870 382807044 478508805 574210566 638011740 957017610 1148421132 1435526415 1914035220 2871052830 5742105660