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136962 = 23271087
BaseRepresentation
bin100001011100000010
320221212200
4201130002
513340322
62534030
71110210
oct413402
9227780
10136962
11939a1
1267316
134a457
1437cb0
152a8ac
hex21702

136962 has 24 divisors (see below), whose sum is σ = 339456. Its totient is φ = 39096.

The previous prime is 136951. The next prime is 136963. The reversal of 136962 is 269631.

It is a happy number.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 136962.

It is not an unprimeable number, because it can be changed into a prime (136963) by changing a digit.

136962 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 418 + ... + 669.

It is an arithmetic number, because the mean of its divisors is an integer number (14144).

2136962 is an apocalyptic number.

136962 is an abundant number, since it is smaller than the sum of its proper divisors (202494).

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

136962 is a wasteful number, since it uses less digits than its factorization.

136962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1099 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 136962 is about 370.0837742998. The cubic root of 136962 is about 51.5466006075.

It can be divided in two parts, 1369 and 62, that added together give a triangular number (1431 = T53).

The spelling of 136962 in words is "one hundred thirty-six thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1087 2174 3261 6522 7609 9783 15218 19566 22827 45654 68481 136962