Search a number
-
+
2162666940 = 2235724317107
BaseRepresentation
bin1000000011100111…
…1010110110111100
312120201102212022120
42000321322312330
513412120320230
6554333242540
7104410236300
oct20071726674
95521385276
102162666940
11a0a850755
12504333450
1328608c9a5
1416731dd00
15c9ce5310
hex80e7adbc

2162666940 has 144 divisors (see below), whose sum is σ = 7208353152. Its totient is φ = 482799744.

The previous prime is 2162666939. The next prime is 2162666969. The reversal of 2162666940 is 496662612.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2162666892 and 2162666901.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 117867 + ... + 134973.

It is an arithmetic number, because the mean of its divisors is an integer number (50058008).

Almost surely, 22162666940 is an apocalyptic number.

2162666940 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 2162666940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3604176576).

2162666940 is an abundant number, since it is smaller than the sum of its proper divisors (5045686212).

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

2162666940 is a wasteful number, since it uses less digits than its factorization.

2162666940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17176 (or 17167 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 2162666940 is about 46504.4830097056. The cubic root of 2162666940 is about 1293.1926089196.

The spelling of 2162666940 in words is "two billion, one hundred sixty-two million, six hundred sixty-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 43 49 60 70 84 86 98 105 129 140 147 172 196 210 215 245 258 294 301 420 430 490 516 588 602 645 735 860 903 980 1204 1290 1470 1505 1806 2107 2580 2940 3010 3612 4214 4515 6020 6321 8428 9030 10535 12642 17107 18060 21070 25284 31605 34214 42140 51321 63210 68428 85535 102642 119749 126420 171070 205284 239498 256605 342140 359247 478996 513210 598745 718494 735601 838243 1026420 1197490 1436988 1471202 1676486 1796235 2206803 2394980 2514729 2942404 3352972 3592470 3678005 4191215 4413606 5029458 5149207 7184940 7356010 8382430 8827212 10058916 10298414 11034015 12573645 14712020 15447621 16764860 20596828 22068030 25147290 25746035 30895242 36044449 44136060 50294580 51492070 61790484 72088898 77238105 102984140 108133347 144177796 154476210 180222245 216266694 308952420 360444490 432533388 540666735 720888980 1081333470 2162666940