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20049100 = 2252232379
BaseRepresentation
bin100110001111…
…0110011001100
31101201121012021
41030132303030
520113032400
61553415524
7332262121
oct114366314
941647167
1020049100
1110354205
12686a5a4
1341cc896
14293c748
151b6071a
hex131eccc

20049100 has 54 divisors (see below), whose sum is σ = 45600380. Its totient is φ = 7650720.

The previous prime is 20049091. The next prime is 20049101. The reversal of 20049100 is 194002.

It is not an unprimeable number, because it can be changed into a prime (20049101) 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 17 ways as a sum of consecutive naturals, for example, 52711 + ... + 53089.

Almost surely, 220049100 is an apocalyptic number.

20049100 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 20049100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22800190).

20049100 is an abundant number, since it is smaller than the sum of its proper divisors (25551280).

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

20049100 is a wasteful number, since it uses less digits than its factorization.

20049100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 20049100 is about 4477.6221368043. The cubic root of 20049100 is about 271.6637099724.

The spelling of 20049100 in words is "twenty million, forty-nine thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 379 460 529 575 758 1058 1150 1516 1895 2116 2300 2645 3790 5290 7580 8717 9475 10580 13225 17434 18950 26450 34868 37900 43585 52900 87170 174340 200491 217925 400982 435850 801964 871700 1002455 2004910 4009820 5012275 10024550 20049100