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130000420 = 225111035737
BaseRepresentation
bin1111011111110…
…10011000100100
3100001121201001101
413233322120210
5231240003140
620522205444
73135661654
oct757723044
9301551041
10130000420
1167422270
1237653884
1320c18a34
14133a0364
15b62d99a
hex7bfa624

130000420 has 48 divisors (see below), whose sum is σ = 300763008. Its totient is φ = 46805760.

The previous prime is 130000363. The next prime is 130000421. The reversal of 130000420 is 24000031.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 130000397 and 130000406.

It is not an unprimeable number, because it can be changed into a prime (130000421) 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, 19792 + ... + 25528.

It is an arithmetic number, because the mean of its divisors is an integer number (6265896).

Almost surely, 2130000420 is an apocalyptic number.

130000420 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 130000420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150381504).

130000420 is an abundant number, since it is smaller than the sum of its proper divisors (170762588).

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

130000420 is a wasteful number, since it uses less digits than its factorization.

130000420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5860 (or 5858 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 130000420 is about 11401.7726691949. The cubic root of 130000420 is about 506.5802474569.

Adding to 130000420 its reverse (24000031), we get a palindrome (154000451).

The spelling of 130000420 in words is "one hundred thirty million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 103 110 206 220 412 515 1030 1133 2060 2266 4532 5665 5737 11330 11474 22660 22948 28685 57370 63107 114740 126214 252428 315535 590911 631070 1181822 1262140 2363644 2954555 5909110 6500021 11818220 13000042 26000084 32500105 65000210 130000420