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29768740 = 22510114737
BaseRepresentation
bin111000110001…
…1110000100100
32002000102000221
41301203300210
530110044430
62542014124
7511013221
oct161436044
962012027
1029768740
1115892771
129b77344
136223951
143d4c948
15293057a
hex1c63c24

29768740 has 24 divisors (see below), whose sum is σ = 63137592. Its totient is φ = 11788800.

The previous prime is 29768737. The next prime is 29768741. The reversal of 29768740 is 4786792.

It can be written as a sum of positive squares in 4 ways, for example, as 15570916 + 14197824 = 3946^2 + 3768^2 .

It is not an unprimeable number, because it can be changed into a prime (29768741) 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, 5349 + ... + 9388.

It is an arithmetic number, because the mean of its divisors is an integer number (2630733).

Almost surely, 229768740 is an apocalyptic number.

29768740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29768740 is an abundant number, since it is smaller than the sum of its proper divisors (33368852).

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

29768740 is a wasteful number, since it uses less digits than its factorization.

29768740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14847 (or 14845 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 43.

The square root of 29768740 is about 5456.0736798544. The cubic root of 29768740 is about 309.9227695228.

The spelling of 29768740 in words is "twenty-nine million, seven hundred sixty-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 14737 29474 58948 73685 147370 294740 1488437 2976874 5953748 7442185 14884370 29768740