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130913148 = 223233311433
BaseRepresentation
bin1111100110110…
…01001101111100
3100010100002002010
413303121031330
5232003210043
620553531220
73146512662
oct763311574
9303302063
10130913148
1167995a93
1237a13b10
1321178302
141355ac32
15b75e133
hex7cd937c

130913148 has 48 divisors (see below), whose sum is σ = 319931136. Its totient is φ = 41585280.

The previous prime is 130913143. The next prime is 130913183. The reversal of 130913148 is 841319031.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130913143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90640 + ... + 92072.

It is an arithmetic number, because the mean of its divisors is an integer number (6665232).

Almost surely, 2130913148 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 130913148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159965568).

130913148 is an abundant number, since it is smaller than the sum of its proper divisors (189017988).

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

130913148 is a wasteful number, since it uses less digits than its factorization.

130913148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 130913148 is about 11441.7283659419. The cubic root of 130913148 is about 507.7630438488.

The spelling of 130913148 in words is "one hundred thirty million, nine hundred thirteen thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 331 662 993 1324 1433 1986 2866 3972 4299 5732 7613 8598 15226 17196 22839 30452 32959 45678 65918 91356 98877 131836 197754 395508 474323 948646 1422969 1897292 2845938 5691876 10909429 21818858 32728287 43637716 65456574 130913148