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1417130540 = 2257175571069
BaseRepresentation
bin101010001110111…
…1011001000101100
310122202120200122022
41110131323020230
510400241134130
6352342005312
750055260630
oct12435731054
93582520568
101417130540
11667a2a171
12336716838
13197798aa7
14d62d0dc0
158462a7e5
hex5477b22c

1417130540 has 96 divisors (see below), whose sum is σ = 3611018880. Its totient is φ = 456044544.

The previous prime is 1417130537. The next prime is 1417130551. The reversal of 1417130540 is 450317141.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1325126 + ... + 1326194.

It is an arithmetic number, because the mean of its divisors is an integer number (37614780).

Almost surely, 21417130540 is an apocalyptic number.

1417130540 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 1417130540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805509440).

1417130540 is an abundant number, since it is smaller than the sum of its proper divisors (2193888340).

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

1417130540 is a wasteful number, since it uses less digits than its factorization.

1417130540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 1417130540 is about 37644.7943280343. The cubic root of 1417130540 is about 1123.2332538778.

Adding to 1417130540 its reverse (450317141), we get a palindrome (1867447681).

The spelling of 1417130540 in words is "one billion, four hundred seventeen million, one hundred thirty thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 557 595 1069 1114 1190 2138 2228 2380 2785 3899 4276 5345 5570 7483 7798 9469 10690 11140 14966 15596 18173 18938 19495 21380 29932 36346 37415 37876 38990 47345 66283 72692 74830 77980 90865 94690 127211 132566 149660 181730 189380 254422 265132 331415 363460 508844 595433 636055 662830 1190866 1272110 1325660 2381732 2544220 2977165 4168031 5954330 8336062 10122361 11908660 16672124 20244722 20840155 40489444 41680310 50611805 70856527 83360620 101223610 141713054 202447220 283426108 354282635 708565270 1417130540