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20914900 = 22521991051
BaseRepresentation
bin100111111001…
…0001011010100
31110100120211221
41033302023110
520323234100
62024140124
7342526246
oct117621324
943316757
1020914900
1110895746
127007644
1344439a6
142ac6096
151c8201a
hex13f22d4

20914900 has 36 divisors (see below), whose sum is σ = 45656800. Its totient is φ = 8316000.

The previous prime is 20914891. The next prime is 20914903. The reversal of 20914900 is 941902.

20914900 = T709 + T710 + ... + T783.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20914903) 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 11 ways as a sum of consecutive naturals, for example, 19375 + ... + 20425.

Almost surely, 220914900 is an apocalyptic number.

20914900 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 20914900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22828400).

20914900 is an abundant number, since it is smaller than the sum of its proper divisors (24741900).

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

20914900 is a wasteful number, since it uses less digits than its factorization.

20914900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 20914900 is about 4573.2810978552. The cubic root of 20914900 is about 275.5192393704.

The spelling of 20914900 in words is "twenty million, nine hundred fourteen thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 199 398 796 995 1051 1990 2102 3980 4204 4975 5255 9950 10510 19900 21020 26275 52550 105100 209149 418298 836596 1045745 2091490 4182980 5228725 10457450 20914900