Search a number
-
+
132232020 = 223519193601
BaseRepresentation
bin1111110000110…
…11001101010100
3100012211002020020
413320123031110
5232322411040
621042105140
73163645044
oct770331524
9305732206
10132232020
1168706968
123834b1b0
132151a6cb
14137c1724
15b91ecd0
hex7e1b354

132232020 has 96 divisors (see below), whose sum is σ = 392407680. Its totient is φ = 33177600.

The previous prime is 132232013. The next prime is 132232021. The reversal of 132232020 is 20232231.

It is a super-2 number, since 2×1322320202 = 34970614226560800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132232021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219720 + ... + 220320.

It is an arithmetic number, because the mean of its divisors is an integer number (4087580).

Almost surely, 2132232020 is an apocalyptic number.

132232020 is a gapful number since it is divisible by the number (10) 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 132232020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196203840).

132232020 is an abundant number, since it is smaller than the sum of its proper divisors (260175660).

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

132232020 is a wasteful number, since it uses less digits than its factorization.

132232020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 132232020 is about 11499.2182342975. The cubic root of 132232020 is about 509.4624863595.

Adding to 132232020 its reverse (20232231), we get a palindrome (152464251).

The spelling of 132232020 in words is "one hundred thirty-two million, two hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 193 228 285 380 386 570 579 601 772 965 1140 1158 1202 1803 1930 2316 2404 2895 3005 3606 3667 3860 5790 6010 7212 7334 9015 11001 11419 11580 12020 14668 18030 18335 22002 22838 34257 36060 36670 44004 45676 55005 57095 68514 73340 110010 114190 115993 137028 171285 220020 228380 231986 342570 347979 463972 579965 685140 695958 1159930 1391916 1739895 2203867 2319860 3479790 4407734 6611601 6959580 8815468 11019335 13223202 22038670 26446404 33058005 44077340 66116010 132232020