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29666136 = 23323223241
BaseRepresentation
bin111000100101…
…0101101011000
32001211012021210
41301022231120
530043304021
62535503120
7510105123
oct161125530
961735253
1029666136
1115822675
129b27aa0
1361b9036
143d233ba
15290ee76
hex1c4ab58

29666136 has 64 divisors (see below), whose sum is σ = 78059520. Its totient is φ = 9377280.

The previous prime is 29666123. The next prime is 29666141. The reversal of 29666136 is 63166692.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 29666094 and 29666103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122976 + ... + 123216.

It is an arithmetic number, because the mean of its divisors is an integer number (1219680).

Almost surely, 229666136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29666136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39029760).

29666136 is an abundant number, since it is smaller than the sum of its proper divisors (48393384).

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

29666136 is a wasteful number, since it uses less digits than its factorization.

29666136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 492 counting only the distinct ones).

The product of its digits is 69984, while the sum is 39.

The square root of 29666136 is about 5446.6628314960. The cubic root of 29666136 is about 309.5662890870.

The spelling of 29666136 in words is "twenty-nine million, six hundred sixty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 223 241 276 446 482 552 669 723 892 964 1338 1446 1784 1928 2676 2892 5129 5352 5543 5784 10258 11086 15387 16629 20516 22172 30774 33258 41032 44344 53743 61548 66516 107486 123096 133032 161229 214972 322458 429944 644916 1236089 1289832 2472178 3708267 4944356 7416534 9888712 14833068 29666136