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131603290 = 257131747181
BaseRepresentation
bin1111101100000…
…01101101011010
3100011122010202221
413312001231122
5232142301130
621020414254
73155416030
oct766015532
9304563687
10131603290
1168317555
12380a738a
132135a490
141369a550
15b84887a
hex7d81b5a

131603290 has 128 divisors (see below), whose sum is σ = 317011968. Its totient is φ = 38154240.

The previous prime is 131603287. The next prime is 131603299. The reversal of 131603290 is 92306131.

131603290 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (131603299) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 727000 + ... + 727180.

It is an arithmetic number, because the mean of its divisors is an integer number (2476656).

Almost surely, 2131603290 is an apocalyptic number.

131603290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131603290 is an abundant number, since it is smaller than the sum of its proper divisors (185408678).

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

131603290 is a wasteful number, since it uses less digits than its factorization.

131603290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272.

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 131603290 is about 11471.8477151678. The cubic root of 131603290 is about 508.6537478867.

It can be divided in two parts, 13160 and 3290, that multiplied together give a square (43296400 = 65802).

The spelling of 131603290 in words is "one hundred thirty-one million, six hundred three thousand, two hundred ninety".

Divisors: 1 2 5 7 10 13 14 17 26 34 35 47 65 70 85 91 94 119 130 170 181 182 221 235 238 329 362 442 455 470 595 611 658 799 905 910 1105 1190 1222 1267 1547 1598 1645 1810 2210 2353 2534 3055 3077 3094 3290 3995 4277 4706 5593 6110 6154 6335 7735 7990 8507 8554 10387 11186 11765 12670 15385 15470 16471 17014 20774 21385 21539 23530 27965 30770 32942 40001 42535 42770 43078 51935 55930 59549 72709 80002 82355 85070 103870 107695 110591 119098 144619 145418 164710 200005 215390 221182 280007 289238 297745 363545 400010 552955 560014 595490 723095 727090 774137 1012333 1105910 1400035 1446190 1548274 1880047 2024666 2800070 3760094 3870685 5061665 7741370 9400235 10123330 13160329 18800470 26320658 65801645 131603290