Search a number
-
+
29996080 = 245715281
BaseRepresentation
bin111001001101…
…1010000110000
32002102221212221
41302123100300
530134333310
62550530424
7512651062
oct162332060
962387787
1029996080
1115a28554
12a066a14
1362a327a
143dab732
152977ada
hex1c9b430

29996080 has 40 divisors (see below), whose sum is σ = 70736544. Its totient is φ = 11827200.

The previous prime is 29996027. The next prime is 29996093. The reversal of 29996080 is 8069992.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3040 + ... + 8320.

Almost surely, 229996080 is an apocalyptic number.

29996080 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 29996080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35368272).

29996080 is an abundant number, since it is smaller than the sum of its proper divisors (40740464).

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

29996080 is a wasteful number, since it uses less digits than its factorization.

29996080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5365 (or 5359 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 43.

The square root of 29996080 is about 5476.8677179570. The cubic root of 29996080 is about 310.7097162821.

The spelling of 29996080 in words is "twenty-nine million, nine hundred ninety-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 568 710 1136 1420 2840 5281 5680 10562 21124 26405 42248 52810 84496 105620 211240 374951 422480 749902 1499804 1874755 2999608 3749510 5999216 7499020 14998040 29996080