Search a number
-
+
132041100 = 223522331889
BaseRepresentation
bin1111101111011…
…00100110001100
3100012110101100010
413313230212030
5232300303400
621034033220
73162221322
oct767544614
9305411303
10132041100
1168596484
1238278810
1321481839
1413771d12
15b8d3450
hex7dec98c

132041100 has 72 divisors (see below), whose sum is σ = 383881680. Its totient is φ = 35041280.

The previous prime is 132041093. The next prime is 132041101. The reversal of 132041100 is 1140231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (132041101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68956 + ... + 70844.

It is an arithmetic number, because the mean of its divisors is an integer number (5331690).

Almost surely, 2132041100 is an apocalyptic number.

132041100 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 132041100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191940840).

132041100 is an abundant number, since it is smaller than the sum of its proper divisors (251840580).

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

132041100 is a wasteful number, since it uses less digits than its factorization.

132041100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2139 (or 2132 counting only the distinct ones).

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

The square root of 132041100 is about 11490.9138017827. The cubic root of 132041100 is about 509.2171765687.

Adding to 132041100 its reverse (1140231), we get a palindrome (133181331).

The spelling of 132041100 in words is "one hundred thirty-two million, forty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 233 300 466 699 932 1165 1398 1889 2330 2796 3495 3778 4660 5667 5825 6990 7556 9445 11334 11650 13980 17475 18890 22668 23300 28335 34950 37780 47225 56670 69900 94450 113340 141675 188900 283350 440137 566700 880274 1320411 1760548 2200685 2640822 4401370 5281644 6602055 8802740 11003425 13204110 22006850 26408220 33010275 44013700 66020550 132041100