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20600400 = 2435217167
BaseRepresentation
bin100111010010…
…1011001010000
31102202121102210
41032211121100
520233203100
62013312120
7340046322
oct116453120
942677383
1020600400
11106a0427
126a95640
1343637b2
142a43612
151c1dc50
hex13a5650

20600400 has 60 divisors (see below), whose sum is σ = 65993792. Its totient is φ = 5493120.

The previous prime is 20600383. The next prime is 20600407. The reversal of 20600400 is 400602.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20600407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7384 + ... + 9783.

Almost surely, 220600400 is an apocalyptic number.

20600400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20600400 is an abundant number, since it is smaller than the sum of its proper divisors (45393392).

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

20600400 is a wasteful number, since it uses less digits than its factorization.

20600400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17188 (or 17177 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 20600400 is about 4538.7663522151. The cubic root of 20600400 is about 274.1312529387.

The spelling of 20600400 in words is "twenty million, six hundred thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 17167 34334 51501 68668 85835 103002 137336 171670 206004 257505 274672 343340 412008 429175 515010 686680 824016 858350 1030020 1287525 1373360 1716700 2060040 2575050 3433400 4120080 5150100 6866800 10300200 20600400