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29890300 = 22521129937
BaseRepresentation
bin111001000000…
…1011011111100
32002020120210011
41302001123330
530122442200
62544353004
7512030506
oct162013374
962216704
1029890300
1115966030
12a015764
13626708b
143d80d76
1529565ba
hex1c816fc

29890300 has 72 divisors (see below), whose sum is σ = 73276560. Its totient is φ = 10483200.

The previous prime is 29890297. The next prime is 29890303. The reversal of 29890300 is 309892.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (29890297) and next prime (29890303).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29890303) 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, 31432 + ... + 32368.

It is an arithmetic number, because the mean of its divisors is an integer number (1017730).

Almost surely, 229890300 is an apocalyptic number.

29890300 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 29890300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36638280).

29890300 is an abundant number, since it is smaller than the sum of its proper divisors (43386260).

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

29890300 is a wasteful number, since it uses less digits than its factorization.

29890300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 29890300 is about 5467.2022095401. The cubic root of 29890300 is about 310.3440508991.

The spelling of 29890300 in words is "twenty-nine million, eight hundred ninety thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 110 116 145 220 275 290 319 550 580 638 725 937 1100 1276 1450 1595 1874 2900 3190 3748 4685 6380 7975 9370 10307 15950 18740 20614 23425 27173 31900 41228 46850 51535 54346 93700 103070 108692 135865 206140 257675 271730 298903 515350 543460 597806 679325 1030700 1195612 1358650 1494515 2717300 2989030 5978060 7472575 14945150 29890300