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86078140 = 22517409619
BaseRepresentation
bin1010010000101…
…11001010111100
312222222020000021
411020113022330
5134014000030
612312541524
72063436451
oct510271274
9188866007
1086078140
1144652865
12249b18a4
1314aaab15
14b609828
15785497a
hex52172bc

86078140 has 48 divisors (see below), whose sum is σ = 192175200. Its totient is φ = 32274432.

The previous prime is 86078107. The next prime is 86078141. The reversal of 86078140 is 4187068.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 86078096 and 86078105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86078141) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 138751 + ... + 139369.

It is an arithmetic number, because the mean of its divisors is an integer number (4003650).

Almost surely, 286078140 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 86078140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96087600).

86078140 is an abundant number, since it is smaller than the sum of its proper divisors (106097060).

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

86078140 is a wasteful number, since it uses less digits than its factorization.

86078140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 86078140 is about 9277.8305653854. The cubic root of 86078140 is about 441.5341419566.

The spelling of 86078140 in words is "eighty-six million, seventy-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 409 619 818 1238 1636 2045 2476 3095 4090 6190 6953 8180 10523 12380 13906 21046 27812 34765 42092 52615 69530 105230 139060 210460 253171 506342 1012684 1265855 2531710 4303907 5063420 8607814 17215628 21519535 43039070 86078140