Search a number
-
+
133734810 = 235111273191
BaseRepresentation
bin1111111100010…
…10000110011010
3100022122102200010
413332022012122
5233214003220
621134222350
73212504256
oct776120632
9308572603
10133734810
1169542a40
12389549b6
1321925731
1413a93266
15bb1a1e0
hex7f8a19a

133734810 has 64 divisors (see below), whose sum is σ = 353009664. Its totient is φ = 32155200.

The previous prime is 133734793. The next prime is 133734823. The reversal of 133734810 is 18437331.

It is a super-2 number, since 2×1337348102 = 35769998811472200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40315 + ... + 43505.

It is an arithmetic number, because the mean of its divisors is an integer number (5515776).

Almost surely, 2133734810 is an apocalyptic number.

133734810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133734810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176504832).

133734810 is an abundant number, since it is smaller than the sum of its proper divisors (219274854).

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

133734810 is a wasteful number, since it uses less digits than its factorization.

133734810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3339.

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 133734810 is about 11564.3767666053. The cubic root of 133734810 is about 511.3852000640.

The spelling of 133734810 in words is "one hundred thirty-three million, seven hundred thirty-four thousand, eight hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 127 165 254 330 381 635 762 1270 1397 1905 2794 3191 3810 4191 6382 6985 8382 9573 13970 15955 19146 20955 31910 35101 41910 47865 70202 95730 105303 175505 210606 351010 405257 526515 810514 1053030 1215771 2026285 2431542 4052570 4457827 6078855 8915654 12157710 13373481 22289135 26746962 44578270 66867405 133734810