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29661090 = 23517193061
BaseRepresentation
bin111000100100…
…1011110100010
32001210221100220
41301021132202
530043123330
62535423510
7510054324
oct161113642
961727326
1029661090
11158198a8
129b24b96
1361b6954
143d21614
15290d710
hex1c497a2

29661090 has 64 divisors (see below), whose sum is σ = 79367040. Its totient is φ = 7050240.

The previous prime is 29661083. The next prime is 29661127. The reversal of 29661090 is 9016692.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8160 + ... + 11220.

It is an arithmetic number, because the mean of its divisors is an integer number (1240110).

Almost surely, 229661090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29661090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39683520).

29661090 is an abundant number, since it is smaller than the sum of its proper divisors (49705950).

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

29661090 is a wasteful number, since it uses less digits than its factorization.

29661090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3107.

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 29661090 is about 5446.1995923763. The cubic root of 29661090 is about 309.5487364127.

The spelling of 29661090 in words is "twenty-nine million, six hundred sixty-one thousand, ninety".

Divisors: 1 2 3 5 6 10 15 17 19 30 34 38 51 57 85 95 102 114 170 190 255 285 323 510 570 646 969 1615 1938 3061 3230 4845 6122 9183 9690 15305 18366 30610 45915 52037 58159 91830 104074 116318 156111 174477 260185 290795 312222 348954 520370 581590 780555 872385 988703 1561110 1744770 1977406 2966109 4943515 5932218 9887030 14830545 29661090