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870086536 = 231129367929
BaseRepresentation
bin110011110111000…
…111011110001000
32020122012222100021
4303313013132020
53240220232121
6222200550224
730363420304
oct6367073610
92218188307
10870086536
11407160990
12203482374
1310b351c07
14837b0d04
15515bd641
hex33dc7788

870086536 has 64 divisors (see below), whose sum is σ = 1848096000. Its totient is φ = 380405760.

The previous prime is 870086509. The next prime is 870086587. The reversal of 870086536 is 635680078.

It is a junction number, because it is equal to n+sod(n) for n = 870086492 and 870086501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 936120 + ... + 937048.

It is an arithmetic number, because the mean of its divisors is an integer number (28876500).

Almost surely, 2870086536 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 870086536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924048000).

870086536 is an abundant number, since it is smaller than the sum of its proper divisors (978009464).

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

870086536 is a wasteful number, since it uses less digits than its factorization.

870086536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 870086536 is about 29497.2292936133. The cubic root of 870086536 is about 954.6719215152.

The spelling of 870086536 in words is "eight hundred seventy million, eighty-six thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 232 319 367 638 734 929 1276 1468 1858 2552 2936 3716 4037 7432 8074 10219 10643 16148 20438 21286 26941 32296 40876 42572 53882 81752 85144 107764 117073 215528 234146 296351 340943 468292 592702 681886 936584 1185404 1363772 2370808 2727544 3750373 7500746 9887347 15001492 19774694 30002984 39549388 79098776 108760817 217521634 435043268 870086536