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386420540 = 2251117277373
BaseRepresentation
bin10111000010000…
…100111100111100
3222221010012022212
4113002010330330
51242410424130
6102202155552
712401343332
oct2702047474
9887105285
10386420540
11189140520
12a94b2bb8
136209870c
143946bb52
1523dcee95
hex17084f3c

386420540 has 96 divisors (see below), whose sum is σ = 943233984. Its totient is φ = 131420160.

The previous prime is 386420533. The next prime is 386420561. The reversal of 386420540 is 45024683.

It is a junction number, because it is equal to n+sod(n) for n = 386420497 and 386420506.

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, 1035794 + ... + 1036166.

It is an arithmetic number, because the mean of its divisors is an integer number (9825354).

Almost surely, 2386420540 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 386420540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471616992).

386420540 is an abundant number, since it is smaller than the sum of its proper divisors (556813444).

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

386420540 is a wasteful number, since it uses less digits than its factorization.

386420540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 386420540 is about 19657.5822521489. The cubic root of 386420540 is about 728.3722661345.

The spelling of 386420540 in words is "three hundred eighty-six million, four hundred twenty thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 277 340 373 374 554 746 748 935 1108 1385 1492 1865 1870 2770 3047 3730 3740 4103 4709 5540 6094 6341 7460 8206 9418 12188 12682 15235 16412 18836 20515 23545 25364 30470 31705 41030 47090 51799 60940 63410 69751 82060 94180 103321 103598 126820 139502 206642 207196 258995 279004 348755 413284 516605 517990 697510 1033210 1035980 1136531 1395020 1756457 2066420 2273062 3512914 4546124 5682655 7025828 8782285 11365310 17564570 19321027 22730620 35129140 38642054 77284108 96605135 193210270 386420540