Search a number
-
+
136726000 = 2453137499
BaseRepresentation
bin10000010011001…
…00010111110000
3100112021101210221
420021210113300
5240000213000
621322302424
73250103035
oct1011442760
9315241727
10136726000
11701a62a4
1239957a14
1322432078
141423138c
15c00b61a
hex82645f0

136726000 has 80 divisors (see below), whose sum is σ = 333684000. Its totient is φ = 54182400.

The previous prime is 136725997. The next prime is 136726001. The reversal of 136726000 is 627631.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136726001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273751 + ... + 274249.

It is an arithmetic number, because the mean of its divisors is an integer number (4171050).

Almost surely, 2136726000 is an apocalyptic number.

136726000 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 136726000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166842000).

136726000 is an abundant number, since it is smaller than the sum of its proper divisors (196958000).

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

136726000 is a wasteful number, since it uses less digits than its factorization.

136726000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 136726000 is about 11692.9893525993. The cubic root of 136726000 is about 515.1697683931.

The spelling of 136726000 in words is "one hundred thirty-six million, seven hundred twenty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 137 200 250 274 400 499 500 548 685 998 1000 1096 1370 1996 2000 2192 2495 2740 3425 3992 4990 5480 6850 7984 9980 10960 12475 13700 17125 19960 24950 27400 34250 39920 49900 54800 62375 68363 68500 99800 124750 136726 137000 199600 249500 273452 274000 341815 499000 546904 683630 998000 1093808 1367260 1709075 2734520 3418150 5469040 6836300 8545375 13672600 17090750 27345200 34181500 68363000 136726000