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4005420534 = 2323110369691
BaseRepresentation
bin1110111010111101…
…1101110111110110
3101100010220110000200
43232233131313312
531200341424114
61501242021330
7201154340613
oct35657356766
911303813020
104005420534
111775a56805
129394a7846
134baa9ba2b
1429dd6550a
15186996409
hexeebdddf6

4005420534 has 48 divisors (see below), whose sum is σ = 9045464064. Its totient is φ = 1279508400.

The previous prime is 4005420527. The next prime is 4005420539. The reversal of 4005420534 is 4350245004.

4005420534 is a `hidden beast` number, since 400 + 54 + 205 + 3 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4005420498 and 4005420507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4005420539) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22629 + ... + 92319.

It is an arithmetic number, because the mean of its divisors is an integer number (188447168).

Almost surely, 24005420534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4005420534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4522732032).

4005420534 is an abundant number, since it is smaller than the sum of its proper divisors (5040043530).

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

4005420534 is a wasteful number, since it uses less digits than its factorization.

4005420534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69833 (or 69830 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 4005420534 is about 63288.3917792197. The cubic root of 4005420534 is about 1588.1177750949.

Adding to 4005420534 its reverse (4350245004), we get a palindrome (8355665538).

The spelling of 4005420534 in words is "four billion, five million, four hundred twenty thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 18 31 62 93 103 186 206 279 309 558 618 927 1854 3193 6386 9579 19158 28737 57474 69691 139382 209073 418146 627219 1254438 2160421 4320842 6481263 7178173 12962526 14356346 19443789 21534519 38887578 43069038 64603557 129207114 222523363 445046726 667570089 1335140178 2002710267 4005420534