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130031440 = 245711219101
BaseRepresentation
bin1111100000000…
…01111101010000
3100001200021121021
413300001331100
5231242001230
620523005224
73136151260
oct760017520
9301607537
10130031440
1167443600
1237669814
1320c29ba6
14133ab7a0
15b637c7a
hex7c01f50

130031440 has 240 divisors, whose sum is σ = 403724160. Its totient is φ = 38016000.

The previous prime is 130031437. The next prime is 130031449. The reversal of 130031440 is 44130031.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130031449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1287390 + ... + 1287490.

It is an arithmetic number, because the mean of its divisors is an integer number (1682184).

Almost surely, 2130031440 is an apocalyptic number.

130031440 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 130031440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201862080).

130031440 is an abundant number, since it is smaller than the sum of its proper divisors (273692720).

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

130031440 is a wasteful number, since it uses less digits than its factorization.

130031440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 130031440 is about 11403.1329028474. The cubic root of 130031440 is about 506.6205367359.

Adding to 130031440 its reverse (44130031), we get a palindrome (174161471).

The spelling of 130031440 in words is "one hundred thirty million, thirty-one thousand, four hundred forty".