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20049660 = 22335107347
BaseRepresentation
bin100110001111…
…0111011111100
31101201121222000
41030132323330
520113042120
61553422300
7332263551
oct114367374
941647860
1020049660
1110354674
12686a990
1341ccc07
14293ca28
151b60990
hex131eefc

20049660 has 96 divisors (see below), whose sum is σ = 63141120. Its totient is φ = 5281344.

The previous prime is 20049649. The next prime is 20049709. The reversal of 20049660 is 6694002.

It is a super-2 number, since 2×200496602 = 803977732231200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57607 + ... + 57953.

It is an arithmetic number, because the mean of its divisors is an integer number (657720).

Almost surely, 220049660 is an apocalyptic number.

20049660 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 20049660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31570560).

20049660 is an abundant number, since it is smaller than the sum of its proper divisors (43091460).

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

20049660 is a wasteful number, since it uses less digits than its factorization.

20049660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 20049660 is about 4477.6846695586. The cubic root of 20049660 is about 271.6662392673. Note that the first 3 decimals are identical.

It can be divided in two parts, 2004 and 9660, that added together give a square (11664 = 1082).

The spelling of 20049660 in words is "twenty million, forty-nine thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 107 108 135 180 214 270 321 347 428 535 540 642 694 963 1041 1070 1284 1388 1605 1735 1926 2082 2140 2889 3123 3210 3470 3852 4164 4815 5205 5778 6246 6420 6940 9369 9630 10410 11556 12492 14445 15615 18738 19260 20820 28890 31230 37129 37476 46845 57780 62460 74258 93690 111387 148516 185645 187380 222774 334161 371290 445548 556935 668322 742580 1002483 1113870 1336644 1670805 2004966 2227740 3341610 4009932 5012415 6683220 10024830 20049660