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132411040 = 2557191151
BaseRepresentation
bin1111110010001…
…10111010100000
3100020011011210121
413321012322200
5232344123130
621050010024
73165322006
oct771067240
9306134717
10132411040
1168819413
1238416914
1321581038
141382aa76
15b957d7a
hex7e46ea0

132411040 has 48 divisors (see below), whose sum is σ = 313528320. Its totient is φ = 52844800.

The previous prime is 132411029. The next prime is 132411043. The reversal of 132411040 is 40114231.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (132411043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114465 + ... + 115615.

It is an arithmetic number, because the mean of its divisors is an integer number (6531840).

Almost surely, 2132411040 is an apocalyptic number.

132411040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132411040 is an abundant number, since it is smaller than the sum of its proper divisors (181117280).

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

132411040 is a wasteful number, since it uses less digits than its factorization.

132411040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1885 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 132411040 is about 11506.9996089337. Note that the first 3 decimals coincide. The cubic root of 132411040 is about 509.6922916339.

Adding to 132411040 its reverse (40114231), we get a palindrome (172525271).

The spelling of 132411040 in words is "one hundred thirty-two million, four hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 719 1151 1438 2302 2876 3595 4604 5752 5755 7190 9208 11504 11510 14380 18416 23008 23020 28760 36832 46040 57520 92080 115040 184160 827569 1655138 3310276 4137845 6620552 8275690 13241104 16551380 26482208 33102760 66205520 132411040