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29979040 = 2557132971
BaseRepresentation
bin111001001011…
…1000110100000
32002102002111211
41302113012200
530133312130
62550315504
7512550310
oct162270640
962362454
1029979040
1115a16773
12a058b94
1362985a0
143da5440
152972a2a
hex1c971a0

29979040 has 192 divisors, whose sum is σ = 91445760. Its totient is φ = 9031680.

The previous prime is 29979029. The next prime is 29979043. The reversal of 29979040 is 4097992.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 29978984 and 29979002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29979043) 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 31 ways as a sum of consecutive naturals, for example, 422205 + ... + 422275.

It is an arithmetic number, because the mean of its divisors is an integer number (476280).

Almost surely, 229979040 is an apocalyptic number.

29979040 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 29979040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45722880).

29979040 is an abundant number, since it is smaller than the sum of its proper divisors (61466720).

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

29979040 is a wasteful number, since it uses less digits than its factorization.

29979040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 40.

The square root of 29979040 is about 5475.3118632640. The cubic root of 29979040 is about 310.6508697435.

The spelling of 29979040 in words is "twenty-nine million, nine hundred seventy-nine thousand, forty".