Search a number
-
+
132012210 = 23511241887
BaseRepresentation
bin1111101111001…
…01100010110010
3100012101220201010
413313211202302
5232243342320
621033251350
73162041151
oct767454262
9305356633
10132012210
1168576800
1238263b56
1321471645
1413765598
15b8c9ae0
hex7de58b2

132012210 has 96 divisors (see below), whose sum is σ = 357146496. Its totient is φ = 31187200.

The previous prime is 132012197. The next prime is 132012227. The reversal of 132012210 is 12210231.

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, 148387 + ... + 149273.

It is an arithmetic number, because the mean of its divisors is an integer number (3720276).

Almost surely, 2132012210 is an apocalyptic number.

132012210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132012210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178573248).

132012210 is an abundant number, since it is smaller than the sum of its proper divisors (225134286).

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

132012210 is a wasteful number, since it uses less digits than its factorization.

132012210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 132012210 is about 11489.6566528335. The cubic root of 132012210 is about 509.1800357156.

Adding to 132012210 its reverse (12210231), we get a palindrome (144222441).

It can be divided in two parts, 1320 and 12210, that added together give a triangular number (13530 = T164).

The spelling of 132012210 in words is "one hundred thirty-two million, twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 41 55 66 82 110 121 123 165 205 242 246 330 363 410 451 605 615 726 887 902 1210 1230 1353 1774 1815 2255 2661 2706 3630 4435 4510 4961 5322 6765 8870 9757 9922 13305 13530 14883 19514 24805 26610 29271 29766 36367 48785 49610 58542 72734 74415 97570 107327 109101 146355 148830 181835 214654 218202 292710 321981 363670 400037 536635 545505 643962 800074 1073270 1091010 1200111 1609905 2000185 2400222 3219810 4000370 4400407 6000555 8800814 12001110 13201221 22002035 26402442 44004070 66006105 132012210