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2141263560 = 2335171049639
BaseRepresentation
bin111111110100001…
…0001011011001000
312112020011110101210
41333220101123020
513341130413220
6552250413120
7104030303622
oct17750213310
95466143353
102141263560
119a9762007
124b91311a0
13281807877
1416454bc12
15c7eb86e0
hex7fa116c8

2141263560 has 64 divisors (see below), whose sum is σ = 6801667200. Its totient is φ = 537414656.

The previous prime is 2141263559. The next prime is 2141263571. The reversal of 2141263560 is 653621412.

2141263560 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 522780 + ... + 526859.

It is an arithmetic number, because the mean of its divisors is an integer number (106276050).

Almost surely, 22141263560 is an apocalyptic number.

2141263560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141263560 is an abundant number, since it is smaller than the sum of its proper divisors (4660403640).

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

2141263560 is a wasteful number, since it uses less digits than its factorization.

2141263560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049670 (or 1049666 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2141263560 is about 46273.7891251624. The cubic root of 2141263560 is about 1288.9123215562.

Adding to 2141263560 its reverse (653621412), we get a palindrome (2794884972).

The spelling of 2141263560 in words is "two billion, one hundred forty-one million, two hundred sixty-three thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 1049639 2099278 3148917 4198556 5248195 6297834 8397112 10496390 12595668 15744585 17843863 20992780 25191336 31489170 35687726 41985560 53531589 62978340 71375452 89219315 107063178 125956680 142750904 178438630 214126356 267657945 356877260 428252712 535315890 713754520 1070631780 2141263560