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20761320 = 2335315581
BaseRepresentation
bin100111100110…
…0101011101000
31110001210011210
41033030223220
520303330240
62020553120
7341316426
oct117145350
943053153
1020761320
11107a0318
126b527a0
1343bbb08
142a86116
151c51780
hex13ccae8

20761320 has 64 divisors (see below), whose sum is σ = 64304640. Its totient is φ = 5356800.

The previous prime is 20761309. The next prime is 20761327. The reversal of 20761320 is 2316702.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20761327) 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 15 ways as a sum of consecutive naturals, for example, 930 + ... + 6510.

It is an arithmetic number, because the mean of its divisors is an integer number (1004760).

Almost surely, 220761320 is an apocalyptic number.

20761320 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 20761320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32152320).

20761320 is an abundant number, since it is smaller than the sum of its proper divisors (43543320).

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

20761320 is a wasteful number, since it uses less digits than its factorization.

20761320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5626 (or 5622 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 20761320 is about 4556.4591515781. The cubic root of 20761320 is about 274.8431943526.

The spelling of 20761320 in words is "twenty million, seven hundred sixty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 5581 11162 16743 22324 27905 33486 44648 55810 66972 83715 111620 133944 167430 173011 223240 334860 346022 519033 669720 692044 865055 1038066 1384088 1730110 2076132 2595165 3460220 4152264 5190330 6920440 10380660 20761320