[go: up one dir, main page]

Search a number
-
+
5900928 = 273112127
BaseRepresentation
bin10110100000101010000000
3102002210112220
4112200222000
53002312203
6330251040
7101104605
oct26405200
912083486
105900928
113370500
121b86a80
1312b7b97
14ad86ac
157b8653
hex5a0a80

5900928 has 96 divisors (see below), whose sum is σ = 17364480. Its totient is φ = 1774080.

The previous prime is 5900911. The next prime is 5900941. The reversal of 5900928 is 8290095.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×59009282 = 69641902522368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46401 + ... + 46527.

It is an arithmetic number, because the mean of its divisors is an integer number (180880).

Almost surely, 25900928 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 5900928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8682240).

5900928 is an abundant number, since it is smaller than the sum of its proper divisors (11463552).

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

5900928 is a wasteful number, since it uses less digits than its factorization.

5900928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 5900928 is about 2429.1825785642. The cubic root of 5900928 is about 180.7063602609.

The spelling of 5900928 in words is "five million, nine hundred thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 127 128 132 176 192 242 254 264 352 363 381 384 484 508 528 704 726 762 968 1016 1056 1397 1408 1452 1524 1936 2032 2112 2794 2904 3048 3872 4064 4191 4224 5588 5808 6096 7744 8128 8382 11176 11616 12192 15367 15488 16256 16764 22352 23232 24384 30734 33528 44704 46101 46464 48768 61468 67056 89408 92202 122936 134112 178816 184404 245872 268224 368808 491744 536448 737616 983488 1475232 1966976 2950464 5900928