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132198940 = 22523594871
BaseRepresentation
bin1111110000100…
…11001000011100
3100012202101212001
413320103020130
5232320331230
621041252044
73163446436
oct770231034
9305671761
10132198940
1168694025
1238334024
1321508633
14137b3656
15b9150ca
hex7e1321c

132198940 has 48 divisors (see below), whose sum is σ = 294658560. Its totient is φ = 49712960.

The previous prime is 132198929. The next prime is 132198943. The reversal of 132198940 is 49891231.

It is a self number, because there is not a number n which added to its sum of digits gives 132198940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132198943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24705 + ... + 29575.

It is an arithmetic number, because the mean of its divisors is an integer number (6138720).

Almost surely, 2132198940 is an apocalyptic number.

132198940 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 132198940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147329280).

132198940 is an abundant number, since it is smaller than the sum of its proper divisors (162459620).

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

132198940 is a wasteful number, since it uses less digits than its factorization.

132198940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4962 (or 4960 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 132198940 is about 11497.7797856804. The cubic root of 132198940 is about 509.4199993618.

The spelling of 132198940 in words is "one hundred thirty-two million, one hundred ninety-eight thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 23 46 59 92 115 118 230 236 295 460 590 1180 1357 2714 4871 5428 6785 9742 13570 19484 24355 27140 48710 97420 112033 224066 287389 448132 560165 574778 1120330 1149556 1436945 2240660 2873890 5747780 6609947 13219894 26439788 33049735 66099470 132198940