Search a number
-
+
2163956940 = 2232543793539
BaseRepresentation
bin1000000011111011…
…0101110011001100
312120210212101212100
42000332311303030
513412433110230
6554421035100
7104424221235
oct20076656314
95523771770
102163956940
11a10551972
12504855a90
13286421bc2
1416757808c
15c9e9c660
hex80fb5ccc

2163956940 has 144 divisors (see below), whose sum is σ = 6803596800. Its totient is φ = 556343424.

The previous prime is 2163956849. The next prime is 2163956969. The reversal of 2163956940 is 496593612.

2163956940 is a `hidden beast` number, since 2 + 1 + 639 + 5 + 6 + 9 + 4 + 0 = 666.

2163956940 is digitally balanced in base 2, 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 609691 + ... + 613229.

It is an arithmetic number, because the mean of its divisors is an integer number (47247200).

Almost surely, 22163956940 is an apocalyptic number.

2163956940 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 2163956940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3401798400).

2163956940 is an abundant number, since it is smaller than the sum of its proper divisors (4639639860).

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

2163956940 is a wasteful number, since it uses less digits than its factorization.

2163956940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3676 (or 3671 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 2163956940 is about 46518.3505726504. The cubic root of 2163956940 is about 1293.4496814651.

The spelling of 2163956940 in words is "two billion, one hundred sixty-three million, nine hundred fifty-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 79 86 90 129 158 172 180 215 237 258 316 387 395 430 474 516 645 711 774 790 860 948 1185 1290 1422 1548 1580 1935 2370 2580 2844 3397 3539 3555 3870 4740 6794 7078 7110 7740 10191 10617 13588 14156 14220 16985 17695 20382 21234 30573 31851 33970 35390 40764 42468 50955 53085 61146 63702 67940 70780 101910 106170 122292 127404 152177 152865 159255 203820 212340 279581 304354 305730 318510 456531 559162 608708 611460 637020 760885 838743 913062 1118324 1369593 1397905 1521770 1677486 1826124 2282655 2516229 2739186 2795810 3043540 3354972 4193715 4565310 5032458 5478372 5591620 6847965 8387430 9130620 10064916 12021983 12581145 13695930 16774860 24043966 25162290 27391860 36065949 48087932 50324580 60109915 72131898 108197847 120219830 144263796 180329745 216395694 240439660 360659490 432791388 540989235 721318980 1081978470 2163956940