Search a number
-
+
134007744 = 26313531013
BaseRepresentation
bin1111111110011…
…00101111000000
3100100011022001210
413333030233000
5233301221434
621144130120
73215022063
oct777145700
9310138053
10134007744
116970a002
1238a66940
13219bca30
1413b248da
15bb70ee9
hex7fccbc0

134007744 has 112 divisors (see below), whose sum is σ = 389424672. Its totient is φ = 40415232.

The previous prime is 134007739. The next prime is 134007749. The reversal of 134007744 is 447700431.

It is an interprime number because it is at equal distance from previous prime (134007739) and next prime (134007749).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134007749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131782 + ... + 132794.

It is an arithmetic number, because the mean of its divisors is an integer number (3477006).

Almost surely, 2134007744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134007744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194712336).

134007744 is an abundant number, since it is smaller than the sum of its proper divisors (255416928).

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

134007744 is a wasteful number, since it uses less digits than its factorization.

134007744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 134007744 is about 11576.1713878121. The cubic root of 134007744 is about 511.7328521701.

The spelling of 134007744 in words is "one hundred thirty-four million, seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 53 64 78 96 104 106 156 159 192 208 212 312 318 416 424 624 636 689 832 848 1013 1248 1272 1378 1696 2026 2067 2496 2544 2756 3039 3392 4052 4134 5088 5512 6078 8104 8268 10176 11024 12156 13169 16208 16536 22048 24312 26338 32416 33072 39507 44096 48624 52676 53689 64832 66144 79014 97248 105352 107378 132288 158028 161067 194496 210704 214756 316056 322134 421408 429512 632112 644268 697957 842816 859024 1264224 1288536 1395914 1718048 2093871 2528448 2577072 2791828 3436096 4187742 5154144 5583656 8375484 10308288 11167312 16750968 22334624 33501936 44669248 67003872 134007744