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132109740 = 223257104849
BaseRepresentation
bin1111101111111…
…01010110101100
3100012120212111100
413313331112230
5232310002430
621035323100
73162625410
oct767752654
9305525440
10132109740
1168633004
12382b0490
13214a6b59
141378cd40
15b8e8960
hex7dfd5ac

132109740 has 72 divisors (see below), whose sum is σ = 457984800. Its totient is φ = 30196224.

The previous prime is 132109727. The next prime is 132109781. The reversal of 132109740 is 47901231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51165 + ... + 53684.

It is an arithmetic number, because the mean of its divisors is an integer number (6360900).

Almost surely, 2132109740 is an apocalyptic number.

132109740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132109740 is an abundant number, since it is smaller than the sum of its proper divisors (325875060).

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

132109740 is a wasteful number, since it uses less digits than its factorization.

132109740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104871 (or 104866 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 132109740 is about 11493.9001213687. The cubic root of 132109740 is about 509.3053981204.

The spelling of 132109740 in words is "one hundred thirty-two million, one hundred nine thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 104849 209698 314547 419396 524245 629094 733943 943641 1048490 1258188 1467886 1572735 1887282 2096980 2201829 2935772 3145470 3669715 3774564 4403658 4718205 6290940 6605487 7339430 8807316 9436410 11009145 13210974 14678860 18872820 22018290 26421948 33027435 44036580 66054870 132109740