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86483540 = 225112132749
BaseRepresentation
bin1010010011110…
…10001001010100
320000201211010002
411021322021110
5134114433130
612325350432
72100045413
oct511721124
9200654102
1086483540
11448aa400
1224b68418
1314bc04c0
14b6b347a
1578d4b45
hex527a254

86483540 has 72 divisors (see below), whose sum is σ = 215061000. Its totient is φ = 29018880.

The previous prime is 86483513. The next prime is 86483561. The reversal of 86483540 is 4538468.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 698896 + 85784644 = 836^2 + 9262^2 .

It is a junction number, because it is equal to n+sod(n) for n = 86483494 and 86483503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30086 + ... + 32834.

Almost surely, 286483540 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 86483540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107530500).

86483540 is an abundant number, since it is smaller than the sum of its proper divisors (128577460).

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

86483540 is a wasteful number, since it uses less digits than its factorization.

86483540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2793 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The square root of 86483540 is about 9299.6526816866. The cubic root of 86483540 is about 442.2262172686.

The spelling of 86483540 in words is "eighty-six million, four hundred eighty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 121 130 143 220 242 260 286 484 572 605 715 1210 1430 1573 2420 2749 2860 3146 5498 6292 7865 10996 13745 15730 27490 30239 31460 35737 54980 60478 71474 120956 142948 151195 178685 302390 332629 357370 393107 604780 665258 714740 786214 1330516 1572428 1663145 1965535 3326290 3931070 4324177 6652580 7862140 8648354 17296708 21620885 43241770 86483540