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206130540 = 223571144617
BaseRepresentation
bin11000100100101…
…00110101101100
3112100212111221110
430102110311230
5410232134130
632242032020
75052036450
oct1422246554
9470774843
10206130540
11a639aa20
1259048610
1333922845
141d53a660
151316aab0
hexc494d6c

206130540 has 96 divisors (see below), whose sum is σ = 719599104. Its totient is φ = 42831360.

The previous prime is 206130527. The next prime is 206130557. The reversal of 206130540 is 45031602.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 17689 + ... + 26928.

It is an arithmetic number, because the mean of its divisors is an integer number (7495824).

Almost surely, 2206130540 is an apocalyptic number.

206130540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206130540 is an abundant number, since it is smaller than the sum of its proper divisors (513468564).

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

206130540 is a wasteful number, since it uses less digits than its factorization.

206130540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44647 (or 44645 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 206130540 is about 14357.2469505821. The cubic root of 206130540 is about 590.7187830697.

The spelling of 206130540 in words is "two hundred six million, one hundred thirty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 4620 44617 89234 133851 178468 223085 267702 312319 446170 490787 535404 624638 669255 892340 936957 981574 1249276 1338510 1472361 1561595 1873914 1963148 2453935 2677020 2944722 3123190 3435509 3747828 4684785 4907870 5889444 6246380 6871018 7361805 9369570 9815740 10306527 13742036 14723610 17177545 18739140 20613054 29447220 34355090 41226108 51532635 68710180 103065270 206130540