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131297280 = 212352137
BaseRepresentation
bin1111101001101…
…11000000000000
3100011001121000020
413310313000000
5232103003110
621010053440
73153002622
oct764670000
9304047006
10131297280
1168128654
1237b7a280
13212810ca
141361ac12
15b7d7d70
hex7d37000

131297280 has 104 divisors (see below), whose sum is σ = 420296592. Its totient is φ = 34996224.

The previous prime is 131297269. The next prime is 131297311. The reversal of 131297280 is 82792131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60372 + ... + 62508.

Almost surely, 2131297280 is an apocalyptic number.

131297280 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 131297280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210148296).

131297280 is an abundant number, since it is smaller than the sum of its proper divisors (288999312).

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

131297280 is an equidigital number, since it uses as much as digits as its factorization.

131297280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2169 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 131297280 is about 11458.5025199631. The cubic root of 131297280 is about 508.2591935828.

The spelling of 131297280 in words is "one hundred thirty-one million, two hundred ninety-seven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2137 2560 3072 3840 4096 4274 5120 6144 6411 7680 8548 10240 10685 12288 12822 15360 17096 20480 21370 25644 30720 32055 34192 42740 51288 61440 64110 68384 85480 102576 128220 136768 170960 205152 256440 273536 341920 410304 512880 547072 683840 820608 1025760 1094144 1367680 1641216 2051520 2188288 2735360 3282432 4103040 4376576 5470720 6564864 8206080 8753152 10941440 13129728 16412160 21882880 26259456 32824320 43765760 65648640 131297280