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5405323040 = 25513315377
BaseRepresentation
bin1010000100010111…
…01010111100100000
3111221201001212020122
411002023222330200
542032230314130
62252210455412
7250643326205
oct50213527440
914851055218
105405323040
112324189227
12106a294568
13681b15000
14393c4dcac
1521981c2e5
hex1422eaf20

5405323040 has 96 divisors (see below), whose sum is σ = 13834663920. Its totient is φ = 1995681792.

The previous prime is 5405323039. The next prime is 5405323057. The reversal of 5405323040 is 403235045.

It can be written as a sum of positive squares in 8 ways, for example, as 78074896 + 5327248144 = 8836^2 + 72988^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343832 + ... + 359208.

Almost surely, 25405323040 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 5405323040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6917331960).

5405323040 is an abundant number, since it is smaller than the sum of its proper divisors (8429340880).

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

5405323040 is a wasteful number, since it uses less digits than its factorization.

5405323040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15431 (or 15397 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

The square root of 5405323040 is about 73520.9020619307. The cubic root of 5405323040 is about 1754.9869226277.

Adding to 5405323040 its reverse (403235045), we get a palindrome (5808558085).

The spelling of 5405323040 in words is "five billion, four hundred five million, three hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 169 208 260 338 416 520 676 845 1040 1352 1690 2080 2197 2704 3380 4394 5408 6760 8788 10985 13520 15377 17576 21970 27040 30754 35152 43940 61508 70304 76885 87880 123016 153770 175760 199901 246032 307540 351520 399802 492064 615080 799604 999505 1230160 1599208 1999010 2460320 2598713 3198416 3998020 5197426 6396832 7996040 10394852 12993565 15992080 20789704 25987130 31984160 33783269 41579408 51974260 67566538 83158816 103948520 135133076 168916345 207897040 270266152 337832690 415794080 540532304 675665380 1081064608 1351330760 2702661520 5405323040