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20700400 = 245277393
BaseRepresentation
bin100111011110…
…1110011110000
31102221200121111
41032331303300
520244403100
62015403104
7340644010
oct116756360
942850544
1020700400
1110759576
126b23494
13439a176
142a6bc40
151c3d6ba
hex13bdcf0

20700400 has 60 divisors (see below), whose sum is σ = 56845072. Its totient is φ = 7096320.

The previous prime is 20700377. The next prime is 20700401. The reversal of 20700400 is 400702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20700401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 897 + ... + 6496.

Almost surely, 220700400 is an apocalyptic number.

20700400 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 20700400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28422536).

20700400 is an abundant number, since it is smaller than the sum of its proper divisors (36144672).

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

20700400 is a wasteful number, since it uses less digits than its factorization.

20700400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7418 (or 7407 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

The square root of 20700400 is about 4549.7692249168. The cubic root of 20700400 is about 274.5741065982.

The spelling of 20700400 in words is "twenty million, seven hundred thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 7393 14786 29572 36965 51751 59144 73930 103502 118288 147860 184825 207004 258755 295720 369650 414008 517510 591440 739300 828016 1035020 1293775 1478600 2070040 2587550 2957200 4140080 5175100 10350200 20700400