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29660220 = 22325414019
BaseRepresentation
bin111000100100…
…1010000111100
32001210220011200
41301021100330
530043111340
62535415500
7510051642
oct161112074
961726150
1029660220
1115819187
129b24590
1361b6435
143d21192
15290d330
hex1c4943c

29660220 has 72 divisors (see below), whose sum is σ = 92186640. Its totient is φ = 7714560.

The previous prime is 29660207. The next prime is 29660227. The reversal of 29660220 is 2206692.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29660227) 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 23 ways as a sum of consecutive naturals, for example, 5371 + ... + 9389.

It is an arithmetic number, because the mean of its divisors is an integer number (1280370).

Almost surely, 229660220 is an apocalyptic number.

29660220 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 29660220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46093320).

29660220 is an abundant number, since it is smaller than the sum of its proper divisors (62526420).

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

29660220 is a wasteful number, since it uses less digits than its factorization.

29660220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4075 (or 4070 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 29660220 is about 5446.1197195802. The cubic root of 29660220 is about 309.5457098884.

It can be divided in two parts, 296 and 60220, that added together give a square (60516 = 2462).

The spelling of 29660220 in words is "twenty-nine million, six hundred sixty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 4019 7380 8038 12057 16076 20095 24114 36171 40190 48228 60285 72342 80380 120570 144684 164779 180855 241140 329558 361710 494337 659116 723420 823895 988674 1483011 1647790 1977348 2471685 2966022 3295580 4943370 5932044 7415055 9886740 14830110 29660220