Search a number
-
+
135671100 = 223521373301
BaseRepresentation
bin10000001011000…
…10110100111100
3100110021210202120
420011202310330
5234212433400
621243522540
73235120365
oct1005426474
9313253676
10135671100
116a645784
1239529450
1322152b76
1414038b6c
15bd9dca0
hex8162d3c

135671100 has 72 divisors (see below), whose sum is σ = 395526768. Its totient is φ = 35904000.

The previous prime is 135671083. The next prime is 135671111. The reversal of 135671100 is 1176531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39450 + ... + 42750.

Almost surely, 2135671100 is an apocalyptic number.

135671100 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 135671100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197763384).

135671100 is an abundant number, since it is smaller than the sum of its proper divisors (259855668).

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

135671100 is a wasteful number, since it uses less digits than its factorization.

135671100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3455 (or 3448 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 135671100 is about 11647.7937825152. The cubic root of 135671100 is about 513.8414273620.

The spelling of 135671100 in words is "one hundred thirty-five million, six hundred seventy-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 137 150 274 300 411 548 685 822 1370 1644 2055 2740 3301 3425 4110 6602 6850 8220 9903 10275 13204 13700 16505 19806 20550 33010 39612 41100 49515 66020 82525 99030 165050 198060 247575 330100 452237 495150 904474 990300 1356711 1808948 2261185 2713422 4522370 5426844 6783555 9044740 11305925 13567110 22611850 27134220 33917775 45223700 67835550 135671100