Search a number
-
+
540637620 = 223589137739
BaseRepresentation
bin100000001110010…
…111100110110100
31101200022020101120
4200032113212310
52101400400440
6125351423540
716253225655
oct4016274664
91350266346
10540637620
112581a3056
12131084bb0
1388012c23
1451b3352c
15326e3dd0
hex203979b4

540637620 has 96 divisors (see below), whose sum is σ = 1544054400. Its totient is φ = 141318144.

The previous prime is 540637607. The next prime is 540637631. The reversal of 540637620 is 26736045.

It is a congruent number.

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, 731211 + ... + 731949.

It is an arithmetic number, because the mean of its divisors is an integer number (16083900).

Almost surely, 2540637620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540637620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772027200).

540637620 is an abundant number, since it is smaller than the sum of its proper divisors (1003416780).

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

540637620 is a wasteful number, since it uses less digits than its factorization.

540637620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 540637620 is about 23251.6154277504. The cubic root of 540637620 is about 814.6456713100.

The spelling of 540637620 in words is "five hundred forty million, six hundred thirty-seven thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 137 178 267 274 356 411 445 534 548 685 739 822 890 1068 1335 1370 1478 1644 1780 2055 2217 2670 2740 2956 3695 4110 4434 5340 7390 8220 8868 11085 12193 14780 22170 24386 36579 44340 48772 60965 65771 73158 101243 121930 131542 146316 182895 197313 202486 243860 263084 303729 328855 365790 394626 404972 506215 607458 657710 731580 789252 986565 1012430 1214916 1315420 1518645 1973130 2024860 3037290 3946260 6074580 9010627 18021254 27031881 36042508 45053135 54063762 90106270 108127524 135159405 180212540 270318810 540637620