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131148240 = 24351912861
BaseRepresentation
bin1111101000100…
…10100111010000
3100010210000120020
413310102213100
5232033220430
621002543440
73151512246
oct764224720
9303700506
10131148240
1168036683
1237b07b80
132122b312
14135bc796
15b7a8b10
hex7d129d0

131148240 has 80 divisors (see below), whose sum is σ = 408830976. Its totient is φ = 34777600.

The previous prime is 131148233. The next prime is 131148247. The reversal of 131148240 is 42841131.

It is an interprime number because it is at equal distance from previous prime (131148233) and next prime (131148247).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 131148240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131148247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44410 + ... + 47270.

Almost surely, 2131148240 is an apocalyptic number.

131148240 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 131148240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204415488).

131148240 is an abundant number, since it is smaller than the sum of its proper divisors (277682736).

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

131148240 is a wasteful number, since it uses less digits than its factorization.

131148240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3068 (or 3062 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 131148240 is about 11451.9972057279. The cubic root of 131148240 is about 508.0668066809.

Adding to 131148240 its reverse (42841131), we get a palindrome (173989371).

The spelling of 131148240 in words is "one hundred thirty-one million, one hundred forty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 191 240 382 573 764 955 1146 1528 1910 2292 2861 2865 3056 3820 4584 5722 5730 7640 8583 9168 11444 11460 14305 15280 17166 22888 22920 28610 34332 42915 45776 45840 57220 68664 85830 114440 137328 171660 228880 343320 546451 686640 1092902 1639353 2185804 2732255 3278706 4371608 5464510 6557412 8196765 8743216 10929020 13114824 16393530 21858040 26229648 32787060 43716080 65574120 131148240