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29666220 = 22351953491
BaseRepresentation
bin111000100101…
…0101110101100
32001211012101220
41301022232230
530043304340
62535503340
7510105303
oct161125654
961735356
1029666220
1115822741
129b27b50
1361b909c
143d2343a
15290eed0
hex1c4abac

29666220 has 96 divisors (see below), whose sum is σ = 89268480. Its totient is φ = 7338240.

The previous prime is 29666183. The next prime is 29666227. The reversal of 29666220 is 2266692.

It is not an unprimeable number, because it can be changed into a prime (29666227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60175 + ... + 60665.

It is an arithmetic number, because the mean of its divisors is an integer number (929880).

Almost surely, 229666220 is an apocalyptic number.

29666220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29666220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44634240).

29666220 is an abundant number, since it is smaller than the sum of its proper divisors (59602260).

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

29666220 is a wasteful number, since it uses less digits than its factorization.

29666220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 29666220 is about 5446.6705426343. The cubic root of 29666220 is about 309.5665812669.

The spelling of 29666220 in words is "twenty-nine million, six hundred sixty-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 53 57 60 76 95 106 114 159 190 212 228 265 285 318 380 491 530 570 636 795 982 1007 1060 1140 1473 1590 1964 2014 2455 2946 3021 3180 4028 4910 5035 5892 6042 7365 9329 9820 10070 12084 14730 15105 18658 20140 26023 27987 29460 30210 37316 46645 52046 55974 60420 78069 93290 104092 111948 130115 139935 156138 186580 260230 279870 312276 390345 494437 520460 559740 780690 988874 1483311 1561380 1977748 2472185 2966622 4944370 5933244 7416555 9888740 14833110 29666220