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131440000 = 27543153
BaseRepresentation
bin1111101010110…
…01110110000000
3100011022211210011
413311121312000
5232122040000
621013114304
73154135666
oct765316600
9304284704
10131440000
11682158aa
1238028994
1321301063
1413656c36
15b8152ba
hex7d59d80

131440000 has 160 divisors (see below), whose sum is σ = 344139840. Its totient is φ = 49920000.

The previous prime is 131439983. The next prime is 131440003. The reversal of 131440000 is 44131.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131440003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2479974 + ... + 2480026.

It is an arithmetic number, because the mean of its divisors is an integer number (2150874).

Almost surely, 2131440000 is an apocalyptic number.

131440000 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 131440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172069920).

131440000 is an abundant number, since it is smaller than the sum of its proper divisors (212699840).

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

131440000 is an frugal number, since it uses more digits than its factorization.

131440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 131440000 is about 11464.7285183732. The cubic root of 131440000 is about 508.4432859590.

Adding to 131440000 its reverse (44131), we get a palindrome (131484131).

It can be divided in two parts, 1314 and 40000, that added together give a palindrome (41314).

The spelling of 131440000 in words is "one hundred thirty-one million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 53 62 64 80 100 106 124 125 128 155 160 200 212 248 250 265 310 320 400 424 496 500 530 620 625 640 775 800 848 992 1000 1060 1240 1250 1325 1550 1600 1643 1696 1984 2000 2120 2480 2500 2650 3100 3200 3286 3392 3875 3968 4000 4240 4960 5000 5300 6200 6572 6625 6784 7750 8000 8215 8480 9920 10000 10600 12400 13144 13250 15500 16000 16430 16960 19375 19840 20000 21200 24800 26288 26500 31000 32860 33125 33920 38750 40000 41075 42400 49600 52576 53000 62000 65720 66250 77500 80000 82150 84800 99200 105152 106000 124000 131440 132500 155000 164300 169600 205375 210304 212000 248000 262880 265000 310000 328600 410750 424000 496000 525760 530000 620000 657200 821500 848000 1026875 1051520 1060000 1240000 1314400 1643000 2053750 2120000 2480000 2628800 3286000 4107500 4240000 5257600 6572000 8215000 13144000 16430000 26288000 32860000 65720000 131440000