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2027891140 = 2251123478527
BaseRepresentation
bin111100011011111…
…0010100111000100
312020022211112200021
41320313302213010
513123120004030
6533120424524
7101152535032
oct17067624704
95208745607
102027891140
119507676a0
12487178144
132641914b2
14153479552
15bd07197a
hex78df29c4

2027891140 has 96 divisors (see below), whose sum is σ = 4951425024. Its totient is φ = 690264960.

The previous prime is 2027891123. The next prime is 2027891143. The reversal of 2027891140 is 411987202.

It is a super-2 number, since 2×20278911402 = 8224684951380999200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2027891096 and 2027891105.

It is not an unprimeable number, because it can be changed into a prime (2027891143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233557 + ... + 242083.

It is an arithmetic number, because the mean of its divisors is an integer number (51577344).

Almost surely, 22027891140 is an apocalyptic number.

2027891140 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 2027891140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2475712512).

2027891140 is an abundant number, since it is smaller than the sum of its proper divisors (2923533884).

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

2027891140 is a wasteful number, since it uses less digits than its factorization.

2027891140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8617 (or 8615 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 2027891140 is about 45032.1123199878. The cubic root of 2027891140 is about 1265.7508059385.

The spelling of 2027891140 in words is "two billion, twenty-seven million, eight hundred ninety-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 47 55 92 94 110 115 188 220 230 235 253 460 470 506 517 940 1012 1034 1081 1265 2068 2162 2530 2585 4324 5060 5170 5405 8527 10340 10810 11891 17054 21620 23782 34108 42635 47564 59455 85270 93797 118910 170540 187594 196121 237820 375188 392242 400769 468985 784484 801538 937970 980605 1603076 1875940 1961210 2003845 2157331 3922420 4007690 4314662 4408459 8015380 8629324 8816918 9217687 10786655 17633836 18435374 21573310 22042295 36870748 43146620 44084590 46088435 88169180 92176870 101394557 184353740 202789114 405578228 506972785 1013945570 2027891140