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136240 = 24513131
BaseRepresentation
bin100001010000110000
320220212221
4201100300
513324430
62530424
71105126
oct412060
9226787
10136240
11933a5
1266a14
134a020
1437916
152a57a
hex21430

136240 has 40 divisors (see below), whose sum is σ = 343728. Its totient is φ = 49920.

The previous prime is 136237. The next prime is 136247. The reversal of 136240 is 42631.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1362402 = 37122675200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136247) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 975 + ... + 1105.

2136240 is an apocalyptic number.

136240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171864).

136240 is an abundant number, since it is smaller than the sum of its proper divisors (207488).

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

136240 is a wasteful number, since it uses less digits than its factorization.

136240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 136240 is about 369.1070305481. The cubic root of 136240 is about 51.4558644079.

136240 divided by its sum of digits (16) gives a triangular number (8515 = T130).

Adding to 136240 its reverse (42631), we get a palindrome (178871).

It can be divided in two parts, 136 and 240, that multiplied together give a triangular number (32640 = T255).

The spelling of 136240 in words is "one hundred thirty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 131 208 260 262 520 524 655 1040 1048 1310 1703 2096 2620 3406 5240 6812 8515 10480 13624 17030 27248 34060 68120 136240