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130021540 = 22511678821
BaseRepresentation
bin1111011111111…
…11100010100100
3100001122210000121
413233333202210
5231241142130
620522451324
73136110355
oct757774244
9301583017
10130021540
1167437120
1237663b44
1320c2552c
14133a7d2c
15b634d7a
hex7bff8a4

130021540 has 48 divisors (see below), whose sum is σ = 302347584. Its totient is φ = 46569600.

The previous prime is 130021523. The next prime is 130021547. The reversal of 130021540 is 45120031.

It is not an unprimeable number, because it can be changed into a prime (130021547) 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, 10330 + ... + 19150.

It is an arithmetic number, because the mean of its divisors is an integer number (6298908).

Almost surely, 2130021540 is an apocalyptic number.

130021540 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 130021540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151173792).

130021540 is an abundant number, since it is smaller than the sum of its proper divisors (172326044).

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

130021540 is a wasteful number, since it uses less digits than its factorization.

130021540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8908 (or 8906 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 130021540 is about 11402.6988033535. The cubic root of 130021540 is about 506.6076791516.

Adding to 130021540 its reverse (45120031), we get a palindrome (175141571).

The spelling of 130021540 in words is "one hundred thirty million, twenty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 67 110 134 220 268 335 670 737 1340 1474 2948 3685 7370 8821 14740 17642 35284 44105 88210 97031 176420 194062 388124 485155 591007 970310 1182014 1940620 2364028 2955035 5910070 6501077 11820140 13002154 26004308 32505385 65010770 130021540