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20361040 = 2457103353
BaseRepresentation
bin100110110101…
…0111101010000
31102022110002121
41031222331100
520203023130
62004224024
7335031430
oct115527520
942273077
1020361040
1110547607
12699b014
1342ab86b
1429c02c0
151bc2d7a
hex136af50

20361040 has 80 divisors (see below), whose sum is σ = 54782208. Its totient is φ = 6893568.

The previous prime is 20361037. The next prime is 20361101. The reversal of 20361040 is 4016302.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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, 57504 + ... + 57856.

Almost surely, 220361040 is an apocalyptic number.

20361040 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 20361040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27391104).

20361040 is an abundant number, since it is smaller than the sum of its proper divisors (34421168).

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

20361040 is a wasteful number, since it uses less digits than its factorization.

20361040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 20361040 is about 4512.3209105736. The cubic root of 20361040 is about 273.0653861728.

Adding to 20361040 its reverse (4016302), we get a palindrome (24377342).

The spelling of 20361040 in words is "twenty million, three hundred sixty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 103 112 140 206 280 353 412 515 560 706 721 824 1030 1412 1442 1648 1765 2060 2471 2824 2884 3530 3605 4120 4942 5648 5768 7060 7210 8240 9884 11536 12355 14120 14420 19768 24710 28240 28840 36359 39536 49420 57680 72718 98840 145436 181795 197680 254513 290872 363590 509026 581744 727180 1018052 1272565 1454360 2036104 2545130 2908720 4072208 5090260 10180520 20361040