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132001440 = 2535275003
BaseRepresentation
bin1111101111000…
…10111010100000
3100012101100221020
413313202322200
5232243021230
621033125440
73161664564
oct767427240
9305340836
10132001440
11685696aa
1238259880
132146977c
14137616a4
15b8c6810
hex7de2ea0

132001440 has 48 divisors (see below), whose sum is σ = 415806048. Its totient is φ = 35200256.

The previous prime is 132001411. The next prime is 132001453. The reversal of 132001440 is 44100231.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137022 + ... + 137981.

It is an arithmetic number, because the mean of its divisors is an integer number (8662626).

Almost surely, 2132001440 is an apocalyptic number.

132001440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132001440 is an abundant number, since it is smaller than the sum of its proper divisors (283804608).

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

132001440 is a wasteful number, since it uses less digits than its factorization.

132001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275021 (or 275013 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 132001440 is about 11489.1879608613. The cubic root of 132001440 is about 509.1661884659.

Adding to 132001440 its reverse (44100231), we get a palindrome (176101671).

The spelling of 132001440 in words is "one hundred thirty-two million, one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 275003 550006 825009 1100012 1375015 1650018 2200024 2750030 3300036 4125045 4400048 5500060 6600072 8250090 8800096 11000120 13200144 16500180 22000240 26400288 33000360 44000480 66000720 132001440