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131268550 = 25272131409
BaseRepresentation
bin1111101001011…
…11111111000110
3100011000010121011
413310233333012
5232101043200
621005312434
73152523100
oct764577706
9304003534
10131268550
1168109006
1237b6571a
1321270cca
1413610570
15b7ce5ba
hex7d2ffc6

131268550 has 72 divisors (see below), whose sum is σ = 286890120. Its totient is φ = 44553600.

The previous prime is 131268547. The next prime is 131268583. The reversal of 131268550 is 55862131.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 320746 + ... + 321154.

It is an arithmetic number, because the mean of its divisors is an integer number (3984585).

Almost surely, 2131268550 is an apocalyptic number.

131268550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131268550 is an abundant number, since it is smaller than the sum of its proper divisors (155621570).

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

131268550 is a wasteful number, since it uses less digits than its factorization.

131268550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 131268550 is about 11457.2487971589. The cubic root of 131268550 is about 508.2221190604. Note that the first 3 decimals are identical.

The spelling of 131268550 in words is "one hundred thirty-one million, two hundred sixty-eight thousand, five hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 49 50 70 98 131 175 245 262 350 409 490 655 818 917 1225 1310 1834 2045 2450 2863 3275 4090 4585 5726 6419 6550 9170 10225 12838 14315 20041 20450 22925 28630 32095 40082 45850 53579 64190 71575 100205 107158 143150 160475 200410 267895 320950 375053 501025 535790 750106 1002050 1339475 1875265 2625371 2678950 3750530 5250742 9376325 13126855 18752650 26253710 65634275 131268550