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29400680 = 2351494933
BaseRepresentation
bin111000000100…
…1111001101000
32001022201011002
41300021321220
530011310210
62530054132
7504621161
oct160117150
961281132
1029400680
1115661191
129a1a348
13612526a
143c94768
1528ab4a5
hex1c09e68

29400680 has 32 divisors (see below), whose sum is σ = 66609000. Its totient is φ = 11678976.

The previous prime is 29400673. The next prime is 29400689. The reversal of 29400680 is 8600492.

It can be written as a sum of positive squares in 4 ways, for example, as 14915044 + 14485636 = 3862^2 + 3806^2 .

It is not an unprimeable number, because it can be changed into a prime (29400689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3494 + ... + 8426.

Almost surely, 229400680 is an apocalyptic number.

29400680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29400680 is an abundant number, since it is smaller than the sum of its proper divisors (37208320).

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

29400680 is a wasteful number, since it uses less digits than its factorization.

29400680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5093 (or 5089 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 29400680 is about 5422.2393897725. The cubic root of 29400680 is about 308.6401763179.

The spelling of 29400680 in words is "twenty-nine million, four hundred thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 149 298 596 745 1192 1490 2980 4933 5960 9866 19732 24665 39464 49330 98660 197320 735017 1470034 2940068 3675085 5880136 7350170 14700340 29400680