[go: up one dir, main page]

Search a number
-
+
5920128 = 2734571
BaseRepresentation
bin10110100101010110000000
3102010202220000
4112211112000
53003421003
6330520000
7101214564
oct26452600
912122800
105920128
113383975
121b96000
1312c3846
14b016a4
157be1a3
hex5a5580

5920128 has 80 divisors (see below), whose sum is σ = 17649060. Its totient is φ = 1969920.

The previous prime is 5920127. The next prime is 5920139. The reversal of 5920128 is 8210295.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5920121) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10083 + ... + 10653.

Almost surely, 25920128 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 5920128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8824530).

5920128 is an abundant number, since it is smaller than the sum of its proper divisors (11728932).

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

5920128 is an equidigital number, since it uses as much as digits as its factorization.

5920128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 5920128 is about 2433.1313158151. The cubic root of 5920128 is about 180.9021377106.

The spelling of 5920128 in words is "five million, nine hundred twenty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 571 576 648 864 1142 1152 1296 1713 1728 2284 2592 3426 3456 4568 5139 5184 6852 9136 10278 10368 13704 15417 18272 20556 27408 30834 36544 41112 46251 54816 61668 73088 82224 92502 109632 123336 164448 185004 219264 246672 328896 370008 493344 657792 740016 986688 1480032 1973376 2960064 5920128