Search a number
-
+
2335680928 = 25764116267
BaseRepresentation
bin1000101100110111…
…1010100110100000
320000202222212220001
42023031322212200
514240413242203
61023433425344
7111610650250
oct21315724640
96022885801
102335680928
11a99481719
1255226b254
132b2b88b29
141822b9960
15da0bd91d
hex8b37a9a0

2335680928 has 48 divisors (see below), whose sum is σ = 5263804224. Its totient is φ = 999383040.

The previous prime is 2335680913. The next prime is 2335680931. The reversal of 2335680928 is 8290865332.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135451 + ... + 151717.

It is an arithmetic number, because the mean of its divisors is an integer number (109662588).

Almost surely, 22335680928 is an apocalyptic number.

2335680928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2335680928 is an abundant number, since it is smaller than the sum of its proper divisors (2928123296).

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

2335680928 is a wasteful number, since it uses less digits than its factorization.

2335680928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16925 (or 16917 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The square root of 2335680928 is about 48328.8829583304. The cubic root of 2335680928 is about 1326.7970732255.

The spelling of 2335680928 in words is "two billion, three hundred thirty-five million, six hundred eighty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 641 1282 2564 4487 5128 8974 10256 16267 17948 20512 32534 35896 65068 71792 113869 130136 143584 227738 260272 455476 520544 910952 1821904 3643808 10427147 20854294 41708588 72990029 83417176 145980058 166834352 291960116 333668704 583920232 1167840464 2335680928