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130878740 = 22523299811
BaseRepresentation
bin1111100110100…
…00110100010100
3100010021022212202
413303100310110
5232001104430
620553104032
73146310446
oct763206424
9303238782
10130878740
1167972153
12379b8018
1321165755
141354c496
15b753d45
hex7cd0d14

130878740 has 48 divisors (see below), whose sum is σ = 296714880. Its totient is φ = 48343680.

The previous prime is 130878719. The next prime is 130878743. The reversal of 130878740 is 47878031.

It is a junction number, because it is equal to n+sod(n) for n = 130878694 and 130878703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130878743) 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, 8435 + ... + 18245.

It is an arithmetic number, because the mean of its divisors is an integer number (6181560).

Almost surely, 2130878740 is an apocalyptic number.

130878740 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 130878740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148357440).

130878740 is an abundant number, since it is smaller than the sum of its proper divisors (165836140).

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

130878740 is a wasteful number, since it uses less digits than its factorization.

130878740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9872 (or 9870 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 38.

The square root of 130878740 is about 11440.2246481439. The cubic root of 130878740 is about 507.7185547048.

The spelling of 130878740 in words is "one hundred thirty million, eight hundred seventy-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 23 29 46 58 92 115 116 145 230 290 460 580 667 1334 2668 3335 6670 9811 13340 19622 39244 49055 98110 196220 225653 284519 451306 569038 902612 1128265 1138076 1422595 2256530 2845190 4513060 5690380 6543937 13087874 26175748 32719685 65439370 130878740