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2157328140 = 22351118118059
BaseRepresentation
bin1000000010010110…
…0011011100001100
312120100101121212020
42000211203130030
513404234000030
6554023010140
7104313662262
oct20045433414
95510347766
102157328140
11a07834620
12502599950
13284c40936
14166730432
15c95dd510
hex8096370c

2157328140 has 96 divisors (see below), whose sum is σ = 6626430720. Its totient is φ = 520070400.

The previous prime is 2157328139. The next prime is 2157328157. The reversal of 2157328140 is 418237512.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 110431 + ... + 128489.

It is an arithmetic number, because the mean of its divisors is an integer number (69025320).

Almost surely, 22157328140 is an apocalyptic number.

2157328140 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 2157328140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3313215360).

2157328140 is an abundant number, since it is smaller than the sum of its proper divisors (4469102580).

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

2157328140 is a wasteful number, since it uses less digits than its factorization.

2157328140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18263 (or 18261 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 2157328140 is about 46447.0466230093. The cubic root of 2157328140 is about 1292.1275989280.

The spelling of 2157328140 in words is "two billion, one hundred fifty-seven million, three hundred twenty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 181 220 330 362 543 660 724 905 1086 1810 1991 2172 2715 3620 3982 5430 5973 7964 9955 10860 11946 18059 19910 23892 29865 36118 39820 54177 59730 72236 90295 108354 119460 180590 198649 216708 270885 361180 397298 541770 595947 794596 993245 1083540 1191894 1986490 2383788 2979735 3268679 3972980 5959470 6537358 9806037 11918940 13074716 16343395 19612074 32686790 35955469 39224148 49030185 65373580 71910938 98060370 107866407 143821876 179777345 196120740 215732814 359554690 431465628 539332035 719109380 1078664070 2157328140