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5200654340 = 2257472393307
BaseRepresentation
bin1001101011111101…
…11011000000000100
3111102102221121120102
410311332323000010
541122331414330
62220020023232
7242606555360
oct46576730004
914372847512
105200654340
1122296a7642
121011831b18
1364b5b497b
143749b42a0
1520688e945
hex135fbb004

5200654340 has 96 divisors (see below), whose sum is σ = 12804341760. Its totient is φ = 1737316224.

The previous prime is 5200654337. The next prime is 5200654343. The reversal of 5200654340 is 434560025.

5200654340 = T281 + T282 + ... + T3148.

It is an interprime number because it is at equal distance from previous prime (5200654337) and next prime (5200654343).

It is not an unprimeable number, because it can be changed into a prime (5200654343) 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, 1570967 + ... + 1574273.

It is an arithmetic number, because the mean of its divisors is an integer number (133378560).

Almost surely, 25200654340 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 5200654340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6402170880).

5200654340 is an abundant number, since it is smaller than the sum of its proper divisors (7603687420).

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

5200654340 is a wasteful number, since it uses less digits than its factorization.

5200654340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3609 (or 3607 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 5200654340 is about 72115.5623981398. The cubic root of 5200654340 is about 1732.5508762104.

The spelling of 5200654340 in words is "five billion, two hundred million, six hundred fifty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 235 239 329 470 478 658 940 956 1195 1316 1645 1673 2390 3290 3307 3346 4780 6580 6614 6692 8365 11233 13228 16535 16730 22466 23149 33070 33460 44932 46298 56165 66140 78631 92596 112330 115745 155429 157262 224660 231490 310858 314524 393155 462980 621716 777145 786310 790373 1088003 1554290 1572620 1580746 2176006 3108580 3161492 3951865 4352012 5440015 5532611 7903730 10880030 11065222 15807460 21760060 22130444 27663055 37147531 55326110 74295062 110652220 148590124 185737655 260032717 371475310 520065434 742950620 1040130868 1300163585 2600327170 5200654340