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130143440 = 2457307757
BaseRepresentation
bin1111100000111…
…01010011010000
3100001212222020102
413300131103100
5231304042230
620525231532
73140125640
oct760352320
9301788212
10130143440
116750a769
12377025a8
1320c68b6b
14133da520
15b65b045
hex7c1d4d0

130143440 has 80 divisors (see below), whose sum is σ = 347394432. Its totient is φ = 44416512.

The previous prime is 130143421. The next prime is 130143443. The reversal of 130143440 is 44341031.

It is a happy number.

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 (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130143443) 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, 171542 + ... + 172298.

Almost surely, 2130143440 is an apocalyptic number.

130143440 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 130143440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173697216).

130143440 is an abundant number, since it is smaller than the sum of its proper divisors (217250992).

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

130143440 is a wasteful number, since it uses less digits than its factorization.

130143440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 130143440 is about 11408.0427769184. The cubic root of 130143440 is about 506.7659508420.

Adding to 130143440 its reverse (44341031), we get a palindrome (174484471).

The spelling of 130143440 in words is "one hundred thirty million, one hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 307 560 614 757 1228 1514 1535 2149 2456 3028 3070 3785 4298 4912 5299 6056 6140 7570 8596 10598 10745 12112 12280 15140 17192 21196 21490 24560 26495 30280 34384 42392 42980 52990 60560 84784 85960 105980 171920 211960 232399 423920 464798 929596 1161995 1626793 1859192 2323990 3253586 3718384 4647980 6507172 8133965 9295960 13014344 16267930 18591920 26028688 32535860 65071720 130143440