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135730140 = 223571324859
BaseRepresentation
bin10000001011100…
…01001111011100
3100110101210202020
420011301033130
5234221331030
621245100140
73235454460
oct1005611734
9313353666
10135730140
116a686077
1239557650
13221739c0
14140524a0
15bdb1510
hex81713dc

135730140 has 96 divisors (see below), whose sum is σ = 467765760. Its totient is φ = 28636416.

The previous prime is 135730103. The next prime is 135730157. The reversal of 135730140 is 41037531.

It is a self number, because there is not a number n which added to its sum of digits gives 135730140.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6970 + ... + 17889.

It is an arithmetic number, because the mean of its divisors is an integer number (4872560).

Almost surely, 2135730140 is an apocalyptic number.

135730140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135730140 is an abundant number, since it is smaller than the sum of its proper divisors (332035620).

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

135730140 is a wasteful number, since it uses less digits than its factorization.

135730140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24891 (or 24889 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 135730140 is about 11650.3278923814. The cubic root of 135730140 is about 513.9159526866.

Adding to 135730140 its reverse (41037531), we get a palindrome (176767671).

The spelling of 135730140 in words is "one hundred thirty-five million, seven hundred thirty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 5460 24859 49718 74577 99436 124295 149154 174013 248590 298308 323167 348026 372885 497180 522039 646334 696052 745770 870065 969501 1044078 1292668 1491540 1615835 1740130 1939002 2088156 2262169 2610195 3231670 3480260 3878004 4524338 4847505 5220390 6463340 6786507 9048676 9695010 10440780 11310845 13573014 19390020 22621690 27146028 33932535 45243380 67865070 135730140