Search a number
-
+
29657920 = 26592681
BaseRepresentation
bin111000100100…
…0101101000000
32001210210000111
41301020231000
530043023140
62535401104
7510042145
oct161105500
961723014
1029657920
1115817486
129b23194
1361b5386
143d203cc
15290c7ea
hex1c48b40

29657920 has 28 divisors (see below), whose sum is σ = 70623684. Its totient is φ = 11863040.

The previous prime is 29657891. The next prime is 29657921. The reversal of 29657920 is 2975692.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8202496 + 21455424 = 2864^2 + 4632^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29657921) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46021 + ... + 46660.

Almost surely, 229657920 is an apocalyptic number.

29657920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29657920 is an abundant number, since it is smaller than the sum of its proper divisors (40965764).

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

29657920 is an equidigital number, since it uses as much as digits as its factorization.

29657920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92698 (or 92688 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 29657920 is about 5445.9085559712. The cubic root of 29657920 is about 309.5377084470.

The spelling of 29657920 in words is "twenty-nine million, six hundred fifty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 92681 185362 370724 463405 741448 926810 1482896 1853620 2965792 3707240 5931584 7414480 14828960 29657920