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20746100 = 22521961179
BaseRepresentation
bin100111100100…
…0111101110100
31110001000022002
41033020331310
520302333400
62020354432
7341224154
oct117107564
943030262
1020746100
111078a941
126b45a18
1343b4bcb
142a80764
151c4bed5
hex13c8f74

20746100 has 72 divisors (see below), whose sum is σ = 48434400. Its totient is φ = 7689600.

The previous prime is 20746097. The next prime is 20746109. The reversal of 20746100 is 164702.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20746109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115811 + ... + 115989.

It is an arithmetic number, because the mean of its divisors is an integer number (672700).

Almost surely, 220746100 is an apocalyptic number.

20746100 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 20746100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24217200).

20746100 is an abundant number, since it is smaller than the sum of its proper divisors (27688300).

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

20746100 is a wasteful number, since it uses less digits than its factorization.

20746100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 20746100 is about 4554.7886888417. The cubic root of 20746100 is about 274.7760159645.

The spelling of 20746100 in words is "twenty million, seven hundred forty-six thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 61 76 95 100 122 179 190 244 305 358 380 475 610 716 895 950 1159 1220 1525 1790 1900 2318 3050 3401 3580 4475 4636 5795 6100 6802 8950 10919 11590 13604 17005 17900 21838 23180 28975 34010 43676 54595 57950 68020 85025 109190 115900 170050 207461 218380 272975 340100 414922 545950 829844 1037305 1091900 2074610 4149220 5186525 10373050 20746100