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136720 = 2451709
BaseRepresentation
bin100001011000010000
320221112201
4201120100
513333340
62532544
71106413
oct413020
9227481
10136720
11937a1
1267154
134a2cc
1437b7a
152a79a
hex21610

136720 has 20 divisors (see below), whose sum is σ = 318060. Its totient is φ = 54656.

The previous prime is 136711. The next prime is 136727. The reversal of 136720 is 27631.

It can be written as a sum of positive squares in 2 ways, for example, as 36864 + 99856 = 192^2 + 316^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (136727) by changing a digit.

136720 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 3 ways as a sum of consecutive naturals, for example, 775 + ... + 934.

It is an arithmetic number, because the mean of its divisors is an integer number (15903).

2136720 is an apocalyptic number.

136720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136720 is an abundant number, since it is smaller than the sum of its proper divisors (181340).

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

136720 is a wasteful number, since it uses less digits than its factorization.

136720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 136720 is about 369.7566767484. The cubic root of 136720 is about 51.5162232485.

The spelling of 136720 in words is "one hundred thirty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1709 3418 6836 8545 13672 17090 27344 34180 68360 136720