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20049700 = 22521121657
BaseRepresentation
bin100110001111…
…0111100100100
31101201122000111
41030132330210
520113042300
61553422404
7332263636
oct114367444
941648014
1020049700
1110354700
12686aa04
1341ccc38
14293ca56
151b609ba
hex131ef24

20049700 has 54 divisors (see below), whose sum is σ = 47851538. Its totient is φ = 7286400.

The previous prime is 20049649. The next prime is 20049709. The reversal of 20049700 is 794002.

It can be written as a sum of positive squares in 3 ways, for example, as 495616 + 19554084 = 704^2 + 4422^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (20049709) 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, 11272 + ... + 12928.

Almost surely, 220049700 is an apocalyptic number.

20049700 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 20049700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23925769).

20049700 is an abundant number, since it is smaller than the sum of its proper divisors (27801838).

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

20049700 is a wasteful number, since it uses less digits than its factorization.

20049700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 20049700 is about 4477.6891361505. The cubic root of 20049700 is about 271.6664199294. Note that the first 3 decimals are identical.

The spelling of 20049700 in words is "twenty million, forty-nine thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 1657 2420 3025 3314 6050 6628 8285 12100 16570 18227 33140 36454 41425 72908 82850 91135 165700 182270 200497 364540 400994 455675 801988 911350 1002485 1822700 2004970 4009940 5012425 10024850 20049700