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132541400 = 23523717911
BaseRepresentation
bin1111110011001…
…10101111011000
3100020101210121202
413321212233120
5232412311100
621052453332
73166404035
oct771465730
9306353552
10132541400
11688a8352
123847a248
13215c8484
141386238c
15b9817d5
hex7e66bd8

132541400 has 48 divisors (see below), whose sum is σ = 316505040. Its totient is φ = 51580800.

The previous prime is 132541379. The next prime is 132541421. The reversal of 132541400 is 4145231.

It is an interprime number because it is at equal distance from previous prime (132541379) and next prime (132541421).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1556 + ... + 16355.

It is an arithmetic number, because the mean of its divisors is an integer number (6593855).

Almost surely, 2132541400 is an apocalyptic number.

132541400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132541400 is an abundant number, since it is smaller than the sum of its proper divisors (183963640).

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

132541400 is a wasteful number, since it uses less digits than its factorization.

132541400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17964 (or 17955 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 132541400 is about 11512.6625938573. The cubic root of 132541400 is about 509.8595025007.

Adding to 132541400 its reverse (4145231), we get a palindrome (136686631).

The spelling of 132541400 in words is "one hundred thirty-two million, five hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 148 185 200 296 370 740 925 1480 1850 3700 7400 17911 35822 71644 89555 143288 179110 358220 447775 662707 716440 895550 1325414 1791100 2650828 3313535 3582200 5301656 6627070 13254140 16567675 26508280 33135350 66270700 132541400