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5220742240 = 255723121481
BaseRepresentation
bin1001101110010111…
…00011010001100000
3111110211202011222201
410313023203101200
541143002222430
62222014342544
7243242401600
oct46713432140
914424664881
105220742240
112239a77a0a
1210184baa54
136527c90bc
14377522c00
1520850b8ca
hex1372e3460

5220742240 has 144 divisors (see below), whose sum is σ = 14811237504. Its totient is φ = 1732147200.

The previous prime is 5220742237. The next prime is 5220742243. The reversal of 5220742240 is 422470225.

It is an interprime number because it is at equal distance from previous prime (5220742237) and next prime (5220742243).

It is a super-2 number, since 2×52207422402 = 54512299073040435200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 5220742199 and 5220742208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5220742243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232300 + ... + 253780.

It is an arithmetic number, because the mean of its divisors is an integer number (102855816).

Almost surely, 25220742240 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 5220742240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7405618752).

5220742240 is an abundant number, since it is smaller than the sum of its proper divisors (9590495264).

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

5220742240 is a wasteful number, since it uses less digits than its factorization.

5220742240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21541 (or 21526 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 28.

The square root of 5220742240 is about 72254.7039299173. The cubic root of 5220742240 is about 1734.7787109079.

The spelling of 5220742240 in words is "five billion, two hundred twenty million, seven hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 49 56 62 70 80 98 112 124 140 155 160 196 217 224 245 248 280 310 392 434 490 496 560 620 784 868 980 992 1085 1120 1240 1519 1568 1736 1960 2170 2480 3038 3472 3920 4340 4960 6076 6944 7595 7840 8680 12152 15190 17360 21481 24304 30380 34720 42962 48608 60760 85924 107405 121520 150367 171848 214810 243040 300734 343696 429620 601468 665911 687392 751835 859240 1052569 1202936 1331822 1503670 1718480 2105138 2405872 2663644 3007340 3329555 3436960 4210276 4661377 4811744 5262845 5327288 6014680 6659110 8420552 9322754 10525690 10654576 12029360 13318220 16841104 18645508 21051380 21309152 23306885 24058720 26636440 32629639 33682208 37291016 42102760 46613770 53272880 65259278 74582032 84205520 93227540 106545760 130518556 149164064 163148195 168411040 186455080 261037112 326296390 372910160 522074224 652592780 745820320 1044148448 1305185560 2610371120 5220742240