Search a number
-
+
29657140 = 2252951133
BaseRepresentation
bin111000100100…
…0100000110100
32001210201221121
41301020200310
530043012030
62535353324
7510036652
oct161104064
961721847
1029657140
1115816937
129b22844
1361b4c06
143d1ddd2
15290c47a
hex1c48834

29657140 has 24 divisors (see below), whose sum is σ = 64428840. Its totient is φ = 11453568.

The previous prime is 29657107. The next prime is 29657149. The reversal of 29657140 is 4175692.

It can be written as a sum of positive squares in 4 ways, for example, as 7717284 + 21939856 = 2778^2 + 4684^2 .

It is a junction number, because it is equal to n+sod(n) for n = 29657096 and 29657105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29657149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24987 + ... + 26146.

It is an arithmetic number, because the mean of its divisors is an integer number (2684535).

Almost surely, 229657140 is an apocalyptic number.

29657140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29657140 is an abundant number, since it is smaller than the sum of its proper divisors (34771700).

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

29657140 is a wasteful number, since it uses less digits than its factorization.

29657140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51171 (or 51169 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 29657140 is about 5445.8369421054. The cubic root of 29657140 is about 309.5349948207.

The spelling of 29657140 in words is "twenty-nine million, six hundred fifty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 51133 102266 204532 255665 511330 1022660 1482857 2965714 5931428 7414285 14828570 29657140