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131665280 = 275409503
BaseRepresentation
bin1111101100100…
…00110110000000
3100011202021210212
413312100312000
5232201242110
621022013252
73156064535
oct766206600
9304667725
10131665280
116835a08a
1238117228
132137c766
14136b4d8c
15b85be05
hex7d90d80

131665280 has 64 divisors (see below), whose sum is σ = 316159200. Its totient is φ = 52432896.

The previous prime is 131665243. The next prime is 131665291. The reversal of 131665280 is 82566131.

It is a happy number.

131665280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 261509 + ... + 262011.

Almost surely, 2131665280 is an apocalyptic number.

131665280 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 131665280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158079600).

131665280 is an abundant number, since it is smaller than the sum of its proper divisors (184493920).

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

131665280 is an equidigital number, since it uses as much as digits as its factorization.

131665280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 131665280 is about 11474.5492286190. The cubic root of 131665280 is about 508.7336002376.

The spelling of 131665280 in words is "one hundred thirty-one million, six hundred sixty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 409 503 640 818 1006 1636 2012 2045 2515 3272 4024 4090 5030 6544 8048 8180 10060 13088 16096 16360 20120 26176 32192 32720 40240 52352 64384 65440 80480 130880 160960 205727 261760 321920 411454 822908 1028635 1645816 2057270 3291632 4114540 6583264 8229080 13166528 16458160 26333056 32916320 65832640 131665280