Search a number
-
+
133463700 = 22345216477
BaseRepresentation
bin1111111010001…
…11111010010100
3100022010122210000
413331013322110
5233131314300
621124331300
73210264666
oct775077224
9308118700
10133463700
1169378287
1238843b30
132185c206
1413a22536
15bab4c00
hex7f47e94

133463700 has 90 divisors (see below), whose sum is σ = 432662846. Its totient is φ = 35588160.

The previous prime is 133463677. The next prime is 133463747. The reversal of 133463700 is 7364331.

It is a happy number.

133463700 is a `hidden beast` number, since 133 + 463 + 70 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3640464 + 129823236 = 1908^2 + 11394^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 139 + ... + 16338.

Almost surely, 2133463700 is an apocalyptic number.

133463700 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 133463700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216331423).

133463700 is an abundant number, since it is smaller than the sum of its proper divisors (299199146).

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

133463700 is a wasteful number, since it uses less digits than its factorization.

133463700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16503 (or 16487 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 133463700 is about 11552.6490468637. The cubic root of 133463700 is about 511.0394027033.

The spelling of 133463700 in words is "one hundred thirty-three million, four hundred sixty-three thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 16477 32954 49431 65908 82385 98862 148293 164770 197724 247155 296586 329540 411925 444879 494310 593172 741465 823850 889758 988620 1235775 1334637 1482930 1647700 1779516 2224395 2471550 2669274 2965860 3707325 4448790 4943100 5338548 6673185 7414650 8897580 11121975 13346370 14829300 22243950 26692740 33365925 44487900 66731850 133463700