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29980188 = 22327271439
BaseRepresentation
bin111001001011…
…1011000011100
32002102011002100
41302113120130
530133331223
62550325100
7512553540
oct162273034
962364070
1029980188
1115a17617
12a059790
136298c74
143da5a20
152973043
hex1c9761c

29980188 has 72 divisors (see below), whose sum is σ = 87127040. Its totient is φ = 8514720.

The previous prime is 29980187. The next prime is 29980189. The reversal of 29980188 is 88108992.

It is an interprime number because it is at equal distance from previous prime (29980187) and next prime (29980189).

It is a super-3 number, since 3×299801883 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29980183) 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 23 ways as a sum of consecutive naturals, for example, 68073 + ... + 68511.

Almost surely, 229980188 is an apocalyptic number.

29980188 is a gapful number since it is divisible by the number (28) 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 29980188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43563520).

29980188 is an abundant number, since it is smaller than the sum of its proper divisors (57146852).

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

29980188 is a wasteful number, since it uses less digits than its factorization.

29980188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 29980188 is about 5475.4166964716. The cubic root of 29980188 is about 310.6548349877.

The spelling of 29980188 in words is "twenty-nine million, nine hundred eighty thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 271 439 542 813 878 1084 1317 1626 1756 1897 2439 2634 3073 3252 3794 3951 4878 5268 5691 6146 7588 7902 9219 9756 11382 12292 15804 17073 18438 22764 27657 34146 36876 55314 68292 110628 118969 237938 356907 475876 713814 832783 1070721 1427628 1665566 2141442 2498349 3331132 4282884 4996698 7495047 9993396 14990094 29980188