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130020340 = 22529373601
BaseRepresentation
bin1111011111111…
…11001111110100
3100001122201101011
413233333033310
5231241122330
620522442004
73136104022
oct757771764
9301581334
10130020340
116743622a
1237663304
1320c24b18
14133a7712
15b63482a
hex7bff3f4

130020340 has 48 divisors (see below), whose sum is σ = 283686480. Its totient is φ = 49996800.

The previous prime is 130020337. The next prime is 130020353. The reversal of 130020340 is 43020031.

It can be written as a sum of positive squares in 8 ways, for example, as 2917264 + 127103076 = 1708^2 + 11274^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 130020340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216040 + ... + 216640.

It is an arithmetic number, because the mean of its divisors is an integer number (5910135).

Almost surely, 2130020340 is an apocalyptic number.

130020340 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 130020340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141843240).

130020340 is an abundant number, since it is smaller than the sum of its proper divisors (153666140).

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

130020340 is a wasteful number, since it uses less digits than its factorization.

130020340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 130020340 is about 11402.6461841101. The cubic root of 130020340 is about 506.6061206121.

Adding to 130020340 its reverse (43020031), we get a palindrome (173040371).

The spelling of 130020340 in words is "one hundred thirty million, twenty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 373 580 601 746 1202 1492 1865 2404 3005 3730 6010 7460 10817 12020 17429 21634 34858 43268 54085 69716 87145 108170 174290 216340 224173 348580 448346 896692 1120865 2241730 4483460 6501017 13002034 26004068 32505085 65010170 130020340