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29923840 = 29511689
BaseRepresentation
bin111001000100…
…1101000000000
32002022021210101
41302021220000
530130030330
62545212144
7512230342
oct162115000
962267711
1029923840
1115989251
12a031054
13627941b
143d8d292
1529614ca
hex1c89a00

29923840 has 40 divisors (see below), whose sum is σ = 71753220. Its totient is φ = 11968512.

The previous prime is 29923837. The next prime is 29923871. The reversal of 29923840 is 4832992.

It can be written as a sum of positive squares in 2 ways, for example, as 27709696 + 2214144 = 5264^2 + 1488^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 29923840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3285 + ... + 8404.

Almost surely, 229923840 is an apocalyptic number.

29923840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29923840 is an abundant number, since it is smaller than the sum of its proper divisors (41829380).

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

29923840 is an equidigital number, since it uses as much as digits as its factorization.

29923840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11712 (or 11696 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 29923840 is about 5470.2687319729. The cubic root of 29923840 is about 310.4600868550.

The spelling of 29923840 in words is "twenty-nine million, nine hundred twenty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 11689 23378 46756 58445 93512 116890 187024 233780 374048 467560 748096 935120 1496192 1870240 2992384 3740480 5984768 7480960 14961920 29923840