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2159137140 = 2235251307467
BaseRepresentation
bin1000000010110001…
…1101000101110100
312120110210112100020
42000230131011310
513410214342030
6554125445140
7104335235316
oct20054350564
95513715306
102159137140
11a0885a766
125031107b0
13285425154
14166a817b6
15c9849510
hex80b1d174

2159137140 has 96 divisors (see below), whose sum is σ = 6102480384. Its totient is φ = 570384000.

The previous prime is 2159137117. The next prime is 2159137157. The reversal of 2159137140 is 417319512.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4623187 + ... + 4623653.

It is an arithmetic number, because the mean of its divisors is an integer number (63567504).

Almost surely, 22159137140 is an apocalyptic number.

2159137140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2159137140 is an abundant number, since it is smaller than the sum of its proper divisors (3943343244).

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

2159137140 is a wasteful number, since it uses less digits than its factorization.

2159137140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 2159137140 is about 46466.5163316554. The cubic root of 2159137140 is about 1292.4886637314.

The spelling of 2159137140 in words is "two billion, one hundred fifty-nine million, one hundred thirty-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 251 307 467 502 614 753 921 934 1004 1228 1255 1401 1506 1535 1842 1868 2335 2510 2802 3012 3070 3684 3765 4605 4670 5020 5604 6140 7005 7530 9210 9340 14010 15060 18420 28020 77057 117217 143369 154114 231171 234434 286738 308228 351651 385285 430107 462342 468868 573476 586085 703302 716845 770570 860214 924684 1155855 1172170 1406604 1433690 1541140 1720428 1758255 2150535 2311710 2344340 2867380 3516510 4301070 4623420 7033020 8602140 35985619 71971238 107956857 143942476 179928095 215913714 359856190 431827428 539784285 719712380 1079568570 2159137140