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29670660 = 22325164837
BaseRepresentation
bin111000100101…
…1110100000100
32001211102111100
41301023310010
530043430120
62535540100
7510124245
oct161136404
961742440
1029670660
1115826008
129b2a630
1361bb106
143d24ccc
152911490
hex1c4bd04

29670660 has 36 divisors (see below), whose sum is σ = 90001548. Its totient is φ = 7912128.

The previous prime is 29670659. The next prime is 29670673. The reversal of 29670660 is 6607692.

It can be written as a sum of positive squares in 2 ways, for example, as 23677956 + 5992704 = 4866^2 + 2448^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 82239 + ... + 82598.

It is an arithmetic number, because the mean of its divisors is an integer number (2500043).

Almost surely, 229670660 is an apocalyptic number.

29670660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29670660 is an abundant number, since it is smaller than the sum of its proper divisors (60330888).

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

29670660 is a wasteful number, since it uses less digits than its factorization.

29670660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164852 (or 164847 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 29670660 is about 5447.0781158342. The cubic root of 29670660 is about 309.5820242753.

The spelling of 29670660 in words is "twenty-nine million, six hundred seventy thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 164837 329674 494511 659348 824185 989022 1483533 1648370 1978044 2472555 2967066 3296740 4945110 5934132 7417665 9890220 14835330 29670660