Search a number
-
+
131523240 = 23354371359
BaseRepresentation
bin1111101011011…
…10001010101000
3100011111001222010
413311232022220
5232132220430
621014555520
73154633452
oct765561250
9304431863
10131523240
11682723a2
1238068ba0
132132cc04
14136792d2
15b82ecb0
hex7d6e2a8

131523240 has 128 divisors (see below), whose sum is σ = 410572800. Its totient is φ = 33680640.

The previous prime is 131523193. The next prime is 131523251. The reversal of 131523240 is 42325131.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 366181 + ... + 366539.

It is an arithmetic number, because the mean of its divisors is an integer number (3207600).

Almost surely, 2131523240 is an apocalyptic number.

131523240 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 131523240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205286400).

131523240 is an abundant number, since it is smaller than the sum of its proper divisors (279049560).

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

131523240 is a wasteful number, since it uses less digits than its factorization.

131523240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 131523240 is about 11468.3582085667. The cubic root of 131523240 is about 508.5505944598.

Adding to 131523240 its reverse (42325131), we get a palindrome (173848371).

The spelling of 131523240 in words is "one hundred thirty-one million, five hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 71 86 120 129 142 172 213 215 258 284 344 355 359 426 430 516 568 645 710 718 852 860 1032 1065 1077 1290 1420 1436 1704 1720 1795 2130 2154 2580 2840 2872 3053 3590 4260 4308 5160 5385 6106 7180 8520 8616 9159 10770 12212 14360 15265 15437 18318 21540 24424 25489 30530 30874 36636 43080 45795 46311 50978 61060 61748 73272 76467 77185 91590 92622 101956 122120 123496 127445 152934 154370 183180 185244 203912 231555 254890 305868 308740 366360 370488 382335 463110 509780 611736 617480 764670 926220 1019560 1096027 1529340 1852440 2192054 3058680 3288081 4384108 5480135 6576162 8768216 10960270 13152324 16440405 21920540 26304648 32880810 43841080 65761620 131523240