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260140540 = 2251143107257
BaseRepresentation
bin11111000000101…
…10110111111100
3200010111111201211
433200112313330
51013043444130
641451414204
76306105142
oct1740266774
9603444654
10260140540
1112392a490
1273154364
1341b8321a
1426799592
1517c88a2a
hexf816dfc

260140540 has 96 divisors (see below), whose sum is σ = 617912064. Its totient is φ = 91176960.

The previous prime is 260140493. The next prime is 260140597. The reversal of 260140540 is 45041062.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1012092 + ... + 1012348.

It is an arithmetic number, because the mean of its divisors is an integer number (6436584).

Almost surely, 2260140540 is an apocalyptic number.

260140540 is a gapful number since it is divisible by the number (20) 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 260140540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308956032).

260140540 is an abundant number, since it is smaller than the sum of its proper divisors (357771524).

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

260140540 is a wasteful number, since it uses less digits than its factorization.

260140540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 260140540 is about 16128.8728682447. The cubic root of 260140540 is about 638.3654088068.

The spelling of 260140540 in words is "two hundred sixty million, one hundred forty thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 107 110 172 214 215 220 257 428 430 473 514 535 860 946 1028 1070 1177 1285 1892 2140 2354 2365 2570 2827 4601 4708 4730 5140 5654 5885 9202 9460 11051 11308 11770 14135 18404 22102 23005 23540 27499 28270 44204 46010 50611 54998 55255 56540 92020 101222 109996 110510 121561 137495 202444 221020 243122 253055 274990 302489 486244 506110 549980 604978 607805 1012220 1182457 1209956 1215610 1512445 2364914 2431220 3024890 4729828 5912285 6049780 11824570 13007027 23649140 26014054 52028108 65035135 130070270 260140540