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130832724 = 223113113187
BaseRepresentation
bin1111100110001…
…01100101010100
3100010011222202110
413303011211110
5231443121344
620552111020
73146026341
oct763054524
9303158673
10130832724
1167940620
1237995470
132114a819
14135397c8
15b7453b9
hex7cc5954

130832724 has 48 divisors (see below), whose sum is σ = 334204416. Its totient is φ = 39506400.

The previous prime is 130832719. The next prime is 130832729. The reversal of 130832724 is 427238031.

It is an interprime number because it is at equal distance from previous prime (130832719) and next prime (130832729).

It is a junction number, because it is equal to n+sod(n) for n = 130832691 and 130832700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130832729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39459 + ... + 42645.

It is an arithmetic number, because the mean of its divisors is an integer number (6962592).

Almost surely, 2130832724 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130832724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167102208).

130832724 is an abundant number, since it is smaller than the sum of its proper divisors (203371692).

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

130832724 is a wasteful number, since it uses less digits than its factorization.

130832724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3516 (or 3514 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 130832724 is about 11438.2133220184. The cubic root of 130832724 is about 507.6590443630.

The spelling of 130832724 in words is "one hundred thirty million, eight hundred thirty-two thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 311 622 933 1244 1866 3187 3421 3732 6374 6842 9561 10263 12748 13684 19122 20526 35057 38244 41052 70114 105171 140228 210342 420684 991157 1982314 2973471 3964628 5946942 10902727 11893884 21805454 32708181 43610908 65416362 130832724