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5405330040 = 23351134711801
BaseRepresentation
bin1010000100010111…
…01100101001111000
3111221201002012211220
411002023230221320
542032231030130
62252210552040
7250643355465
oct50213545170
914851065756
105405330040
112324193510
12106a298620
13681b18256
14393c5266c
1521981e410
hex1422eca78

5405330040 has 128 divisors (see below), whose sum is σ = 17742654720. Its totient is φ = 1306496000.

The previous prime is 5405330009. The next prime is 5405330057. The reversal of 5405330040 is 400335045.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 452140 + ... + 463940.

It is an arithmetic number, because the mean of its divisors is an integer number (138614490).

Almost surely, 25405330040 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 5405330040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8871327360).

5405330040 is an abundant number, since it is smaller than the sum of its proper divisors (12337324680).

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

5405330040 is a wasteful number, since it uses less digits than its factorization.

5405330040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12173 (or 12169 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 5405330040 is about 73520.9496674247. The cubic root of 5405330040 is about 1754.9876802083.

Adding to 5405330040 its reverse (400335045), we get a palindrome (5805665085).

The spelling of 5405330040 in words is "five billion, four hundred five million, three hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 347 440 660 694 1041 1320 1388 1735 2082 2776 3470 3817 4164 5205 6940 7634 8328 10410 11451 11801 13880 15268 19085 20820 22902 23602 30536 35403 38170 41640 45804 47204 57255 59005 70806 76340 91608 94408 114510 118010 129811 141612 152680 177015 229020 236020 259622 283224 354030 389433 458040 472040 519244 649055 708060 778866 1038488 1298110 1416120 1557732 1947165 2596220 3115464 3894330 4094947 5192440 7788660 8189894 12284841 15577320 16379788 20474735 24569682 32759576 40949470 45044417 49139364 61424205 81898940 90088834 98278728 122848410 135133251 163797880 180177668 225222085 245696820 270266502 360355336 450444170 491393640 540533004 675666255 900888340 1081066008 1351332510 1801776680 2702665020 5405330040