Search a number
-
+
2132667720 = 2332517473391
BaseRepresentation
bin111111100011101…
…1110110101001000
312111121222202010100
41333013132311020
513331430331340
6551342245400
7103564243101
oct17707366510
95447882110
102132667720
119a4920907
124b6286860
1327cab8181
141633513a8
15c736b830
hex7f1ded48

2132667720 has 96 divisors (see below), whose sum is σ = 6937182720. Its totient is φ = 568218240.

The previous prime is 2132667701. The next prime is 2132667721. The reversal of 2132667720 is 277662312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2132667721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 627225 + ... + 630615.

It is an arithmetic number, because the mean of its divisors is an integer number (72262320).

Almost surely, 22132667720 is an apocalyptic number.

2132667720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132667720 is an abundant number, since it is smaller than the sum of its proper divisors (4804515000).

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

2132667720 is a wasteful number, since it uses less digits than its factorization.

2132667720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5155 (or 5148 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 2132667720 is about 46180.8154973469. The cubic root of 2132667720 is about 1287.1852816710.

The spelling of 2132667720 in words is "two billion, one hundred thirty-two million, six hundred sixty-seven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1747 3391 3494 5241 6782 6988 8735 10173 10482 13564 13976 15723 16955 17470 20346 20964 26205 27128 30519 31446 33910 34940 40692 41928 50865 52410 61038 62892 67820 69880 78615 81384 101730 104820 122076 125784 135640 152595 157230 203460 209640 244152 305190 314460 406920 610380 628920 1220760 5924077 11848154 17772231 23696308 29620385 35544462 47392616 53316693 59240770 71088924 88861155 106633386 118481540 142177848 177722310 213266772 236963080 266583465 355444620 426533544 533166930 710889240 1066333860 2132667720