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131722780 = 22572257523
BaseRepresentation
bin1111101100111…
…10111000011100
3100011212012200111
413312132320130
5232210112110
621023135404
73156424300
oct766367034
9304765614
10131722780
1168399302
1238144564
132139c997
14136cbd00
15b86de8a
hex7d9ee1c

131722780 has 72 divisors (see below), whose sum is σ = 323649648. Its totient is φ = 44900352.

The previous prime is 131722757. The next prime is 131722823. The reversal of 131722780 is 87227131.

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 23 ways as a sum of consecutive naturals, for example, 251599 + ... + 252121.

It is an arithmetic number, because the mean of its divisors is an integer number (4495134).

Almost surely, 2131722780 is an apocalyptic number.

131722780 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 131722780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161824824).

131722780 is an abundant number, since it is smaller than the sum of its proper divisors (191926868).

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

131722780 is a wasteful number, since it uses less digits than its factorization.

131722780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 31.

The square root of 131722780 is about 11477.0545001756. The cubic root of 131722780 is about 508.8076463966.

The spelling of 131722780 in words is "one hundred thirty-one million, seven hundred twenty-two thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 257 490 514 523 980 1028 1046 1285 1799 2092 2570 2615 3598 3661 5140 5230 7196 7322 8995 10460 12593 14644 17990 18305 25186 25627 35980 36610 50372 51254 62965 73220 102508 125930 128135 134411 251860 256270 268822 512540 537644 672055 940877 1344110 1881754 2688220 3763508 4704385 6586139 9408770 13172278 18817540 26344556 32930695 65861390 131722780