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2163051040 = 255311313329
BaseRepresentation
bin1000000011101101…
…1000101000100000
312120202011101012111
42000323120220200
513412220113130
6554345405104
7104413426153
oct20073305040
95522141174
102163051040
11a0aa93297
12504499794
13286195777
141673bdc9a
15c9d6e02a
hex80ed8a20

2163051040 has 96 divisors (see below), whose sum is σ = 5316917760. Its totient is φ = 830668800.

The previous prime is 2163051019. The next prime is 2163051041. The reversal of 2163051040 is 401503612.

It is not an unprimeable number, because it can be changed into a prime (2163051041) 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 15 ways as a sum of consecutive naturals, for example, 648096 + ... + 651424.

It is an arithmetic number, because the mean of its divisors is an integer number (55384560).

Almost surely, 22163051040 is an apocalyptic number.

2163051040 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 2163051040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2658458880).

2163051040 is an abundant number, since it is smaller than the sum of its proper divisors (3153866720).

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

2163051040 is a wasteful number, since it uses less digits than its factorization.

2163051040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3506 (or 3498 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 2163051040 is about 46508.6125357444. The cubic root of 2163051040 is about 1293.2691634534.

Adding to 2163051040 its reverse (401503612), we get a palindrome (2564554652).

The spelling of 2163051040 in words is "two billion, one hundred sixty-three million, fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 131 155 160 248 262 310 496 524 620 655 992 1048 1240 1310 2096 2480 2620 3329 4061 4192 4960 5240 6658 8122 10480 13316 16244 16645 20305 20960 26632 32488 33290 40610 53264 64976 66580 81220 103199 106528 129952 133160 162440 206398 266320 324880 412796 436099 515995 532640 649760 825592 872198 1031990 1651184 1744396 2063980 2180495 3302368 3488792 4127960 4360990 6977584 8255920 8721980 13519069 13955168 16511840 17443960 27038138 34887920 54076276 67595345 69775840 108152552 135190690 216305104 270381380 432610208 540762760 1081525520 2163051040