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2050310400 = 28352106787
BaseRepresentation
bin111101000110101…
…0100000100000000
312021220000120010020
41322031110010000
513144334413100
6535241133440
7101544231225
oct17215240400
95256016106
102050310400
1196238a606
1249278a280
13268a10b28
1415643394c
15beeee5a0
hex7a354100

2050310400 has 108 divisors (see below), whose sum is σ = 6766514832. Its totient is φ = 546744320.

The previous prime is 2050310377. The next prime is 2050310407. The reversal of 2050310400 is 40130502.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2050310400.

It is not an unprimeable number, because it can be changed into a prime (2050310407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34194 + ... + 72593.

Almost surely, 22050310400 is an apocalyptic number.

2050310400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2050310400 is an abundant number, since it is smaller than the sum of its proper divisors (4716204432).

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

2050310400 is a wasteful number, since it uses less digits than its factorization.

2050310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106816 (or 106797 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2050310400 is about 45280.3533555117. The cubic root of 2050310400 is about 1270.3982052607.

Adding to 2050310400 its reverse (40130502), we get a palindrome (2090440902).

It can be divided in two parts, 20503 and 10400, that added together give a palindrome (30903).

The spelling of 2050310400 in words is "two billion, fifty million, three hundred ten thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 256 300 320 384 400 480 600 640 768 800 960 1200 1280 1600 1920 2400 3200 3840 4800 6400 9600 19200 106787 213574 320361 427148 533935 640722 854296 1067870 1281444 1601805 1708592 2135740 2562888 2669675 3203610 3417184 4271480 5125776 5339350 6407220 6834368 8009025 8542960 10251552 10678700 12814440 13668736 16018050 17085920 20503104 21357400 25628880 27337472 32036100 34171840 41006208 42714800 51257760 64072200 68343680 82012416 85429600 102515520 128144400 136687360 170859200 205031040 256288800 341718400 410062080 512577600 683436800 1025155200 2050310400