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131550000 = 24355877
BaseRepresentation
bin1111101011101…
…00101100110000
3100011112102200020
413311310230300
5232134100000
621015323440
73155104461
oct765645460
9304472606
10131550000
116829050a
1238080580
132133c14a
1413684d68
15b837ba0
hex7d74b30

131550000 has 120 divisors (see below), whose sum is σ = 425254032. Its totient is φ = 35040000.

The previous prime is 131549983. The next prime is 131550031. The reversal of 131550000 is 55131.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149562 + ... + 150438.

Almost surely, 2131550000 is an apocalyptic number.

131550000 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 131550000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212627016).

131550000 is an abundant number, since it is smaller than the sum of its proper divisors (293704032).

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

131550000 is an frugal number, since it uses more digits than its factorization.

131550000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 15.

The square root of 131550000 is about 11469.5248375859. The cubic root of 131550000 is about 508.5850823851.

It can be divided in two parts, 1315 and 50000, that added together give a palindrome (51315).

The spelling of 131550000 in words is "one hundred thirty-one million, five hundred fifty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 877 1000 1200 1250 1500 1754 1875 2000 2500 2631 3000 3125 3508 3750 4385 5000 5262 6000 6250 7016 7500 8770 9375 10000 10524 12500 13155 14032 15000 17540 18750 21048 21925 25000 26310 30000 35080 37500 42096 43850 50000 52620 65775 70160 75000 87700 105240 109625 131550 150000 175400 210480 219250 263100 328875 350800 438500 526200 548125 657750 877000 1052400 1096250 1315500 1644375 1754000 2192500 2631000 2740625 3288750 4385000 5262000 5481250 6577500 8221875 8770000 10962500 13155000 16443750 21925000 26310000 32887500 43850000 65775000 131550000