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2051054040 = 233575634337
BaseRepresentation
bin111101001000000…
…1001100111011000
312021221102100012110
41322100021213120
513200032212130
6535305112320
7101553446250
oct17220114730
95257370173
102051054040
11962848292
12492a886a0
13268c11459
14156588960
15c00e9ab0
hex7a4099d8

2051054040 has 128 divisors (see below), whose sum is σ = 7046300160. Its totient is φ = 467871744.

The previous prime is 2051054021. The next prime is 2051054059. The reversal of 2051054040 is 404501502.

It is an interprime number because it is at equal distance from previous prime (2051054021) and next prime (2051054059).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2051053998 and 2051054016.

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, 470752 + ... + 475088.

It is an arithmetic number, because the mean of its divisors is an integer number (55049220).

Almost surely, 22051054040 is an apocalyptic number.

2051054040 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 2051054040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3523150080).

2051054040 is an abundant number, since it is smaller than the sum of its proper divisors (4995246120).

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

2051054040 is a wasteful number, since it uses less digits than its factorization.

2051054040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4921 (or 4917 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 2051054040 is about 45288.5641194331. The cubic root of 2051054040 is about 1270.5517762727.

Adding to 2051054040 its reverse (404501502), we get a palindrome (2455555542).

The spelling of 2051054040 in words is "two billion, fifty-one million, fifty-four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 563 840 1126 1689 2252 2815 3378 3941 4337 4504 5630 6756 7882 8445 8674 11260 11823 13011 13512 15764 16890 17348 19705 21685 22520 23646 26022 30359 31528 33780 34696 39410 43370 47292 52044 59115 60718 65055 67560 78820 86740 91077 94584 104088 118230 121436 130110 151795 157640 173480 182154 236460 242872 260220 303590 364308 455385 472920 520440 607180 728616 910770 1214360 1821540 2441731 3643080 4883462 7325193 9766924 12208655 14650386 17092117 19533848 24417310 29300772 34184234 36625965 48834620 51276351 58601544 68368468 73251930 85460585 97669240 102552702 136736936 146503860 170921170 205105404 256381755 293007720 341842340 410210808 512763510 683684680 1025527020 2051054040