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132989040 = 243556841
BaseRepresentation
bin1111110110101…
…00000001110000
3100021020112200000
413323110001300
5233021122130
621110230000
73203250102
oct773240160
9307215600
10132989040
11690836a8
1238655300
1321724152
141393b572
15ba1e260
hex7ed4070

132989040 has 120 divisors (see below), whose sum is σ = 463230768. Its totient is φ = 35458560.

The previous prime is 132988997. The next prime is 132989053. The reversal of 132989040 is 40989231.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 132988986 and 132989004.

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 23 ways as a sum of consecutive naturals, for example, 16020 + ... + 22860.

Almost surely, 2132989040 is an apocalyptic number.

132989040 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 132989040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231615384).

132989040 is an abundant number, since it is smaller than the sum of its proper divisors (330241728).

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

132989040 is an equidigital number, since it uses as much as digits as its factorization.

132989040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6869 (or 6851 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 132989040 is about 11532.0874086177. The cubic root of 132989040 is about 510.4328505174.

The spelling of 132989040 in words is "one hundred thirty-two million, nine hundred eighty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3888 4860 6480 6841 9720 13682 19440 20523 27364 34205 41046 54728 61569 68410 82092 102615 109456 123138 136820 164184 184707 205230 246276 273640 307845 328368 369414 410460 492552 547280 554121 615690 738828 820920 923535 985104 1108242 1231380 1477656 1641840 1662363 1847070 2216484 2462760 2770605 2955312 3324726 3694140 4432968 4925520 5541210 6649452 7388280 8311815 8865936 11082420 13298904 14776560 16623630 22164840 26597808 33247260 44329680 66494520 132989040