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5219832020 = 2251322695741
BaseRepresentation
bin1001101110010000…
…00101000011010100
3111110210000221101212
410313020011003110
541142234111040
62221543040552
7243231561104
oct46710050324
914423027355
105219832020
112239506067
121018140158
1365256aa00
14377367204
152083cbd65
hex1372050d4

5219832020 has 72 divisors (see below), whose sum is σ = 11915913240. Its totient is φ = 1919823360.

The previous prime is 5219831977. The next prime is 5219832029. The reversal of 5219832020 is 202389125.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 4217982916 + 1001849104 = 64946^2 + 31652^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5219832029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 906350 + ... + 912090.

It is an arithmetic number, because the mean of its divisors is an integer number (165498795).

Almost surely, 25219832020 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 5219832020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5957956620).

5219832020 is an abundant number, since it is smaller than the sum of its proper divisors (6696081220).

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

5219832020 is a wasteful number, since it uses less digits than its factorization.

5219832020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6045 (or 6030 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 5219832020 is about 72248.4049650925. The cubic root of 5219832020 is about 1734.6778873097.

The spelling of 5219832020 in words is "five billion, two hundred nineteen million, eight hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 269 338 538 676 845 1076 1345 1690 2690 3380 3497 5380 5741 6994 11482 13988 17485 22964 28705 34970 45461 57410 69940 74633 90922 114820 149266 181844 227305 298532 373165 454610 746330 909220 970229 1492660 1544329 1940458 3088658 3880916 4851145 6177316 7721645 9702290 15443290 19404580 20076277 30886580 40152554 80305108 100381385 200762770 260991601 401525540 521983202 1043966404 1304958005 2609916010 5219832020