Search a number
-
+
29890920 = 23352231117
BaseRepresentation
bin111001000000…
…1100101101000
32002020121122010
41302001211220
530123002140
62544355520
7512032353
oct162014550
962217563
1029890920
1115966544
12a015ba0
136267447
143d8129a
152956880
hex1c81968

29890920 has 64 divisors (see below), whose sum is σ = 90155520. Its totient is φ = 7928064.

The previous prime is 29890907. The next prime is 29890921. The reversal of 29890920 is 2909892.

It is not an unprimeable number, because it can be changed into a prime (29890921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26202 + ... + 27318.

It is an arithmetic number, because the mean of its divisors is an integer number (1408680).

Almost surely, 229890920 is an apocalyptic number.

29890920 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 29890920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45077760).

29890920 is an abundant number, since it is smaller than the sum of its proper divisors (60264600).

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

29890920 is a wasteful number, since it uses less digits than its factorization.

29890920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 29890920 is about 5467.2589110083. The cubic root of 29890920 is about 310.3461966564.

The spelling of 29890920 in words is "twenty-nine million, eight hundred ninety thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 223 446 669 892 1115 1117 1338 1784 2230 2234 2676 3345 3351 4460 4468 5352 5585 6690 6702 8920 8936 11170 13380 13404 16755 22340 26760 26808 33510 44680 67020 134040 249091 498182 747273 996364 1245455 1494546 1992728 2490910 2989092 3736365 4981820 5978184 7472730 9963640 14945460 29890920