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132220660 = 225111383557
BaseRepresentation
bin1111110000110…
…00011011110100
3100012210111122111
413320120123310
5232322030120
621041540404
73163566655
oct770303364
9305714574
10132220660
11686a9380
1238344704
13215154a0
14137bb52c
15b91b75a
hex7e186f4

132220660 has 96 divisors (see below), whose sum is σ = 330728832. Its totient is φ = 43768320.

The previous prime is 132220651. The next prime is 132220661. The reversal of 132220660 is 66022231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132220661) 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, 237102 + ... + 237658.

It is an arithmetic number, because the mean of its divisors is an integer number (3445092).

Almost surely, 2132220660 is an apocalyptic number.

132220660 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 132220660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165364416).

132220660 is an abundant number, since it is smaller than the sum of its proper divisors (198508172).

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

132220660 is a wasteful number, since it uses less digits than its factorization.

132220660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 132220660 is about 11498.7242770666. The cubic root of 132220660 is about 509.4478967021.

Adding to 132220660 its reverse (66022231), we get a palindrome (198242891).

The spelling of 132220660 in words is "one hundred thirty-two million, two hundred twenty thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 83 110 130 143 166 220 260 286 332 415 557 572 715 830 913 1079 1114 1430 1660 1826 2158 2228 2785 2860 3652 4316 4565 5395 5570 6127 7241 9130 10790 11140 11869 12254 14482 18260 21580 23738 24508 28964 30635 36205 46231 47476 59345 61270 72410 79651 92462 118690 122540 144820 159302 184924 231155 237380 318604 398255 462310 508541 601003 796510 924620 1017082 1202006 1593020 2034164 2404012 2542705 3005015 5085410 6010030 6611033 10170820 12020060 13222066 26444132 33055165 66110330 132220660