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136950 = 23521183
BaseRepresentation
bin100001011011110110
320221212020
4201123312
513340300
62534010
71110162
oct413366
9227766
10136950
1193990
1267306
134a448
1437ca2
152a8a0
hex216f6

136950 has 48 divisors (see below), whose sum is σ = 374976. Its totient is φ = 32800.

The previous prime is 136949. The next prime is 136951. The reversal of 136950 is 59631.

It is an interprime number because it is at equal distance from previous prime (136949) and next prime (136951).

It is a Curzon number.

It is a zygodrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 136950.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1609 + ... + 1691.

It is an arithmetic number, because the mean of its divisors is an integer number (7812).

2136950 is an apocalyptic number.

136950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 136950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187488).

136950 is an abundant number, since it is smaller than the sum of its proper divisors (238026).

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

136950 is a wasteful number, since it uses less digits than its factorization.

136950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 136950 is about 370.0675613993. The cubic root of 136950 is about 51.5450951358.

The spelling of 136950 in words is "one hundred thirty-six thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 83 110 150 165 166 249 275 330 415 498 550 825 830 913 1245 1650 1826 2075 2490 2739 4150 4565 5478 6225 9130 12450 13695 22825 27390 45650 68475 136950