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540320130 = 232573592389
BaseRepresentation
bin100000001101001…
…010000110000010
31101122201002212200
4200031022012002
52101310221010
6125340534030
716250434230
oct4015120602
91348632780
10540320130
11257aa6569
12130b51316
1387c3156c
1451a8d950
153267ecc0
hex2034a182

540320130 has 96 divisors (see below), whose sum is σ = 1610668800. Its totient is φ = 123106176.

The previous prime is 540320101. The next prime is 540320159. The reversal of 540320130 is 31023045.

It is an interprime number because it is at equal distance from previous prime (540320101) and next prime (540320159).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224976 + ... + 227364.

It is an arithmetic number, because the mean of its divisors is an integer number (16777800).

Almost surely, 2540320130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540320130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805334400).

540320130 is an abundant number, since it is smaller than the sum of its proper divisors (1070348670).

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

540320130 is a wasteful number, since it uses less digits than its factorization.

540320130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 540320130 is about 23244.7871575543. The cubic root of 540320130 is about 814.4861729138.

Adding to 540320130 its reverse (31023045), we get a palindrome (571343175).

The spelling of 540320130 in words is "five hundred forty million, three hundred twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 359 630 718 1077 1795 2154 2389 2513 3231 3590 4778 5026 5385 6462 7167 7539 10770 11945 12565 14334 15078 16155 16723 21501 22617 23890 25130 32310 33446 35835 37695 43002 45234 50169 71670 75390 83615 100338 107505 113085 150507 167230 215010 226170 250845 301014 501690 752535 857651 1505070 1715302 2572953 4288255 5145906 6003557 7718859 8576510 12007114 12864765 15437718 18010671 25729530 30017785 36021342 38594295 54032013 60035570 77188590 90053355 108064026 180106710 270160065 540320130