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5220052560 = 2433510972203
BaseRepresentation
bin1001101110010001…
…11010111001010000
3111110210110010221000
410313020322321100
541142313140220
62221551502000
7243233500062
oct46710727120
914423403830
105220052560
112239646828
121018227900
136526171c8
143773c3732
15208422390
hex13723ae50

5220052560 has 160 divisors (see below), whose sum is σ = 18004740480. Its totient is φ = 1390113792.

The previous prime is 5220052531. The next prime is 5220052633. The reversal of 5220052560 is 652500225.

5220052560 is a `hidden beast` number, since 52 + 2 + 0 + 0 + 52 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2368419 + ... + 2370621.

It is an arithmetic number, because the mean of its divisors is an integer number (112529628).

Almost surely, 25220052560 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 5220052560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9002370240).

5220052560 is an abundant number, since it is smaller than the sum of its proper divisors (12784687920).

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

5220052560 is a wasteful number, since it uses less digits than its factorization.

5220052560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3322 (or 3310 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 5220052560 is about 72249.9312110399. The cubic root of 5220052560 is about 1734.7023172449.

Adding to 5220052560 its reverse (652500225), we get a palindrome (5872552785).

The spelling of 5220052560 in words is "five billion, two hundred twenty million, fifty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 1097 2160 2194 2203 3291 4388 4406 5485 6582 6609 8776 8812 9873 10970 11015 13164 13218 16455 17552 17624 19746 19827 21940 22030 26328 26436 29619 32910 33045 35248 39492 39654 43880 44060 49365 52656 52872 59238 59481 65820 66090 78984 79308 87760 88120 98730 99135 105744 118476 118962 131640 132180 148095 157968 158616 176240 197460 198270 236952 237924 263280 264360 296190 297405 317232 394920 396540 473904 475848 528720 592380 594810 789840 793080 951696 1184760 1189620 1586160 2369520 2379240 2416691 4758480 4833382 7250073 9666764 12083455 14500146 19333528 21750219 24166910 29000292 36250365 38667056 43500438 48333820 58000584 65250657 72500730 87000876 96667640 108751095 116001168 130501314 145001460 174001752 193335280 217502190 261002628 290002920 326253285 348003504 435004380 522005256 580005840 652506570 870008760 1044010512 1305013140 1740017520 2610026280 5220052560