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130231440 = 24325191947
BaseRepresentation
bin1111100001100…
…10110010010000
3100002001102221200
413300302302100
5231314401230
620531151200
73140643333
oct760626220
9302042850
10130231440
116756a899
1237745500
1320c99c31
141342061a
15b677160
hex7c32c90

130231440 has 120 divisors (see below), whose sum is σ = 440114688. Its totient is φ = 34510080.

The previous prime is 130231427. The next prime is 130231481. The reversal of 130231440 is 44132031.

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 (18).

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, 137047 + ... + 137993.

Almost surely, 2130231440 is an apocalyptic number.

130231440 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 130231440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220057344).

130231440 is an abundant number, since it is smaller than the sum of its proper divisors (309883248).

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

130231440 is a wasteful number, since it uses less digits than its factorization.

130231440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 130231440 is about 11411.8990531813. The cubic root of 130231440 is about 506.8801462661.

Adding to 130231440 its reverse (44132031), we get a palindrome (174363471).

The spelling of 130231440 in words is "one hundred thirty million, two hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 191 240 360 382 573 720 764 947 955 1146 1528 1719 1894 1910 2292 2841 2865 3056 3438 3788 3820 4584 4735 5682 5730 6876 7576 7640 8523 8595 9168 9470 11364 11460 13752 14205 15152 15280 17046 17190 18940 22728 22920 27504 28410 34092 34380 37880 42615 45456 45840 56820 68184 68760 75760 85230 113640 136368 137520 170460 180877 227280 340920 361754 542631 681840 723508 904385 1085262 1447016 1627893 1808770 2170524 2713155 2894032 3255786 3617540 4341048 5426310 6511572 7235080 8139465 8682096 10852620 13023144 14470160 16278930 21705240 26046288 32557860 43410480 65115720 130231440