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132530440 = 2357503941
BaseRepresentation
bin1111110011001…
…00000100001000
3100020101020120211
413321210010020
5232411433230
621052330504
73166330060
oct771440410
9306336524
10132530440
11688a0099
1238473a34
13215c34a3
141385c3a0
15b97d42a
hex7e64108

132530440 has 64 divisors (see below), whose sum is σ = 341832960. Its totient is φ = 45300480.

The previous prime is 132530423. The next prime is 132530441. The reversal of 132530440 is 44035231.

It is not an unprimeable number, because it can be changed into a prime (132530441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140370 + ... + 141310.

It is an arithmetic number, because the mean of its divisors is an integer number (5341140).

Almost surely, 2132530440 is an apocalyptic number.

132530440 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 132530440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170916480).

132530440 is an abundant number, since it is smaller than the sum of its proper divisors (209302520).

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

132530440 is a wasteful number, since it uses less digits than its factorization.

132530440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 132530440 is about 11512.1865863962. The cubic root of 132530440 is about 509.8454484914.

Adding to 132530440 its reverse (44035231), we get a palindrome (176565671).

The spelling of 132530440 in words is "one hundred thirty-two million, five hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 503 941 1006 1882 2012 2515 3521 3764 4024 4705 5030 6587 7042 7528 9410 10060 13174 14084 17605 18820 20120 26348 28168 32935 35210 37640 52696 65870 70420 131740 140840 263480 473323 946646 1893292 2366615 3313261 3786584 4733230 6626522 9466460 13253044 16566305 18932920 26506088 33132610 66265220 132530440