Search a number
-
+
5354306000 = 24532677153
BaseRepresentation
bin1001111110010010…
…00011100111010000
3111211011001221000122
410333021003213100
541431200243000
62243145205412
7246453564401
oct47711034720
914734057018
105354306000
1122a840338a
121055190868
13674391a04
1438b16d9a8
152150e1085
hex13f2439d0

5354306000 has 40 divisors (see below), whose sum is σ = 12946716744. Its totient is φ = 2141721600.

The previous prime is 5354305969. The next prime is 5354306003. The reversal of 5354306000 is 6034535.

It can be written as a sum of positive squares in 4 ways, for example, as 1075052944 + 4279253056 = 32788^2 + 65416^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5354306003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1336577 + ... + 1340576.

Almost surely, 25354306000 is an apocalyptic number.

5354306000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5354306000 is an abundant number, since it is smaller than the sum of its proper divisors (7592410744).

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

5354306000 is a wasteful number, since it uses less digits than its factorization.

5354306000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2677176 (or 2677160 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 26.

The square root of 5354306000 is about 73173.1234812346. The cubic root of 5354306000 is about 1749.4480980724.

The spelling of 5354306000 in words is "five billion, three hundred fifty-four million, three hundred six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 2677153 5354306 10708612 13385765 21417224 26771530 42834448 53543060 66928825 107086120 133857650 214172240 267715300 334644125 535430600 669288250 1070861200 1338576500 2677153000 5354306000