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5540443320 = 23351923105653
BaseRepresentation
bin1010010100011110…
…00111010010111000
3112022010022200102110
411022033013102320
542321323141240
62313434532320
7254203663656
oct51217072270
915263280373
105540443320
112393488085
1210a75970a0
136a3b04239
143a7b83dd6
1522660cc80
hex14a3c74b8

5540443320 has 128 divisors (see below), whose sum is σ = 18257011200. Its totient is φ = 1338822144.

The previous prime is 5540443319. The next prime is 5540443357. The reversal of 5540443320 is 233440455.

It is a super-3 number, since 3×55404433203 (a number of 30 digits) contains 333 as substring.

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

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, 387 + ... + 105266.

It is an arithmetic number, because the mean of its divisors is an integer number (142632900).

Almost surely, 25540443320 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 5540443320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9128505600).

5540443320 is an abundant number, since it is smaller than the sum of its proper divisors (12716567880).

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

5540443320 is a wasteful number, since it uses less digits than its factorization.

5540443320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105709 (or 105705 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 5540443320 is about 74434.1542573031. The cubic root of 5540443320 is about 1769.4902423009.

Adding to 5540443320 its reverse (233440455), we get a palindrome (5773883775).

The spelling of 5540443320 in words is "five billion, five hundred forty million, four hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 23 24 30 38 40 46 57 60 69 76 92 95 114 115 120 138 152 184 190 228 230 276 285 345 380 437 456 460 552 570 690 760 874 920 1140 1311 1380 1748 2185 2280 2622 2760 3496 4370 5244 6555 8740 10488 13110 17480 26220 52440 105653 211306 316959 422612 528265 633918 845224 1056530 1267836 1584795 2007407 2113060 2430019 2535672 3169590 4014814 4226120 4860038 6022221 6339180 7290057 8029628 9720076 10037035 12044442 12150095 12678360 14580114 16059256 19440152 20074070 24088884 24300190 29160228 30111105 36450285 40148140 46170361 48177768 48600380 58320456 60222210 72900570 80296280 92340722 97200760 120444420 138511083 145801140 184681444 230851805 240888840 277022166 291602280 369362888 461703610 554044332 692555415 923407220 1108088664 1385110830 1846814440 2770221660 5540443320