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139464 = 233213149
BaseRepresentation
bin100010000011001000
321002022100
4202003020
513430324
62553400
71120413
oct420310
9232270
10139464
1195866
1268860
134b630
1438b7a
152b4c9
hex220c8

139464 has 48 divisors (see below), whose sum is σ = 409500. Its totient is φ = 42624.

The previous prime is 139459. The next prime is 139483. The reversal of 139464 is 464931.

It can be written as a sum of positive squares in 2 ways, for example, as 116964 + 22500 = 342^2 + 150^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

139464 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 862 + ... + 1010.

2139464 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 139464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204750).

139464 is an abundant number, since it is smaller than the sum of its proper divisors (270036).

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

139464 is a wasteful number, since it uses less digits than its factorization.

139464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 167 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 139464 is about 373.4487916703. The cubic root of 139464 is about 51.8585901548.

The spelling of 139464 in words is "one hundred thirty-nine thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 149 156 234 298 312 447 468 596 894 936 1192 1341 1788 1937 2682 3576 3874 5364 5811 7748 10728 11622 15496 17433 23244 34866 46488 69732 139464