[go: up one dir, main page]

Search a number
-
+
133656006 = 231117139857
BaseRepresentation
bin1111111011101…
…10110111000110
3100022111102120110
413331312313012
5233203443011
621132413450
73212025441
oct775666706
9308442513
10133656006
1169499810
1238917286
13218c88c3
1413a72658
15bb01ba6
hex7f76dc6

133656006 has 64 divisors (see below), whose sum is σ = 311351040. Its totient is φ = 37800960.

The previous prime is 133655969. The next prime is 133656031. The reversal of 133656006 is 600656331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155530 + ... + 156386.

It is an arithmetic number, because the mean of its divisors is an integer number (4864860).

Almost surely, 2133656006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133656006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155675520).

133656006 is an abundant number, since it is smaller than the sum of its proper divisors (177695034).

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

133656006 is a wasteful number, since it uses less digits than its factorization.

133656006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029.

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 133656006 is about 11560.9690770281. The cubic root of 133656006 is about 511.2847347789.

The spelling of 133656006 in words is "one hundred thirty-three million, six hundred fifty-six thousand, six".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 139 187 278 374 417 561 834 857 1122 1529 1714 2363 2571 3058 4587 4726 5142 7089 9174 9427 14178 14569 18854 25993 28281 29138 43707 51986 56562 77979 87414 119123 155958 160259 238246 320518 357369 480777 714738 961554 1310353 2025091 2620706 3931059 4050182 6075273 7862118 12150546 22276001 44552002 66828003 133656006