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132613440 = 2635138139
BaseRepresentation
bin1111110011110…
…00010101000000
3100020112110102220
413321320111000
5232422112230
621054211040
73200124051
oct771702500
9306473386
10132613440
1168947493
12384b3a80
13216221bb
1413880728
15b997d10
hex7e78540

132613440 has 56 divisors (see below), whose sum is σ = 421050720. Its totient is φ = 35363328.

The previous prime is 132613421. The next prime is 132613477. The reversal of 132613440 is 44316231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 132613440.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 68110 + ... + 70029.

Almost surely, 2132613440 is an apocalyptic number.

132613440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132613440 is an abundant number, since it is smaller than the sum of its proper divisors (288437280).

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

132613440 is a wasteful number, since it uses less digits than its factorization.

132613440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138159 (or 138149 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 132613440 is about 11515.7908977195. The cubic root of 132613440 is about 509.9518601236.

Adding to 132613440 its reverse (44316231), we get a palindrome (176929671).

The spelling of 132613440 in words is "one hundred thirty-two million, six hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 138139 276278 414417 552556 690695 828834 1105112 1381390 1657668 2072085 2210224 2762780 3315336 4144170 4420448 5525560 6630672 8288340 8840896 11051120 13261344 16576680 22102240 26522688 33153360 44204480 66306720 132613440