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136743700 = 22522961773
BaseRepresentation
bin10000010011010…
…00101100010100
3100112022022002111
420021220230110
5240001244300
621322520404
73250205452
oct1011505424
9315268074
10136743700
1170208625
1239966104
132243a142
14142379d2
15c0119ba
hex8268b14

136743700 has 72 divisors (see below), whose sum is σ = 312401880. Its totient is φ = 51878400.

The previous prime is 136743683. The next prime is 136743709. The reversal of 136743700 is 7347631.

136743700 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 107453956 + 29289744 = 10366^2 + 5412^2 .

136743700 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136743709) 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, 176514 + ... + 177286.

It is an arithmetic number, because the mean of its divisors is an integer number (4338915).

Almost surely, 2136743700 is an apocalyptic number.

136743700 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 136743700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156200940).

136743700 is an abundant number, since it is smaller than the sum of its proper divisors (175658180).

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

136743700 is a wasteful number, since it uses less digits than its factorization.

136743700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 31.

The square root of 136743700 is about 11693.7461918754. The cubic root of 136743700 is about 515.1919980384.

The spelling of 136743700 in words is "one hundred thirty-six million, seven hundred forty-three thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 61 100 116 122 145 244 290 305 580 610 725 773 1220 1450 1525 1546 1769 2900 3050 3092 3538 3865 6100 7076 7730 8845 15460 17690 19325 22417 35380 38650 44225 44834 47153 77300 88450 89668 94306 112085 176900 188612 224170 235765 448340 471530 560425 943060 1120850 1178825 1367437 2241700 2357650 2734874 4715300 5469748 6837185 13674370 27348740 34185925 68371850 136743700