Search a number
-
+
5352140460 = 2235718315137
BaseRepresentation
bin1001111110000001…
…10010111010101100
3111210222222220110110
410333000302322230
541430121443320
62243030540020
7246426305022
oct47700627254
914728886413
105352140460
1122a7164387
121054507610
13673ab4124
1438ab68712
15214d145e0
hex13f032eac

5352140460 has 96 divisors (see below), whose sum is σ = 15381176832. Its totient is φ = 1390090240.

The previous prime is 5352140459. The next prime is 5352140461. The reversal of 5352140460 is 640412535.

It is an interprime number because it is at equal distance from previous prime (5352140459) and next prime (5352140461).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (5352140461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 346012 + ... + 361148.

It is an arithmetic number, because the mean of its divisors is an integer number (160220592).

Almost surely, 25352140460 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 5352140460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7690588416).

5352140460 is an abundant number, since it is smaller than the sum of its proper divisors (10029036372).

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

5352140460 is a wasteful number, since it uses less digits than its factorization.

5352140460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15303 (or 15301 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 5352140460 is about 73158.3246117624. The cubic root of 5352140460 is about 1749.2122124942.

Adding to 5352140460 its reverse (640412535), we get a palindrome (5992552995).

The spelling of 5352140460 in words is "five billion, three hundred fifty-two million, one hundred forty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 83 142 166 213 249 284 332 355 415 426 498 710 830 852 996 1065 1245 1420 1660 2130 2490 4260 4980 5893 11786 15137 17679 23572 29465 30274 35358 45411 58930 60548 70716 75685 88395 90822 117860 151370 176790 181644 227055 302740 353580 454110 908220 1074727 1256371 2149454 2512742 3224181 3769113 4298908 5025484 5373635 6281855 6448362 7538226 10747270 12563710 12896724 15076452 16120905 18845565 21494540 25127420 32241810 37691130 64483620 75382260 89202341 178404682 267607023 356809364 446011705 535214046 892023410 1070428092 1338035115 1784046820 2676070230 5352140460