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131880560 = 24572171979
BaseRepresentation
bin1111101110001…
…01011001110000
3100012011020010012
413313011121300
5232230134220
621030354052
73160652300
oct767053160
9305136105
10131880560
11684968a9
12381bb928
1321426746
141372d600
15b8a0ac5
hex7dc5670

131880560 has 120 divisors (see below), whose sum is σ = 377855280. Its totient is φ = 42534912.

The previous prime is 131880557. The next prime is 131880571. The reversal of 131880560 is 65088131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65651 + ... + 67629.

It is an arithmetic number, because the mean of its divisors is an integer number (3148794).

Almost surely, 2131880560 is an apocalyptic number.

131880560 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 131880560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188927640).

131880560 is an abundant number, since it is smaller than the sum of its proper divisors (245974720).

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

131880560 is a wasteful number, since it uses less digits than its factorization.

131880560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2023 (or 2010 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 131880560 is about 11483.9261578957. The cubic root of 131880560 is about 509.0107184298.

The spelling of 131880560 in words is "one hundred thirty-one million, eight hundred eighty thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 49 56 68 70 80 85 98 112 119 136 140 170 196 238 245 272 280 340 392 476 490 560 595 680 784 833 952 980 1190 1360 1666 1904 1960 1979 2380 3332 3920 3958 4165 4760 6664 7916 8330 9520 9895 13328 13853 15832 16660 19790 27706 31664 33320 33643 39580 55412 66640 67286 69265 79160 96971 110824 134572 138530 158320 168215 193942 221648 235501 269144 277060 336430 387884 471002 484855 538288 554120 672860 775768 942004 969710 1108240 1177505 1345720 1551536 1648507 1884008 1939420 2355010 2691440 3297014 3768016 3878840 4710020 6594028 7757680 8242535 9420040 13188056 16485070 18840080 26376112 32970140 65940280 131880560