Search a number
-
+
134000672 = 25131931669
BaseRepresentation
bin1111111110010…
…11000000100000
3100100010221100212
413333023000200
5233301010142
621144033252
73214662341
oct777130040
9310127325
10134000672
1169704763
1238a62828
13219b9750
1413b220c8
15bb6dd82
hex7fcb020

134000672 has 48 divisors (see below), whose sum is σ = 285750360. Its totient is φ = 61489152.

The previous prime is 134000663. The next prime is 134000687. The reversal of 134000672 is 276000431.

It can be written as a sum of positive squares in 4 ways, for example, as 77510416 + 56490256 = 8804^2 + 7516^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79454 + ... + 81122.

Almost surely, 2134000672 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 134000672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142875180).

134000672 is an abundant number, since it is smaller than the sum of its proper divisors (151749688).

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

134000672 is a wasteful number, since it uses less digits than its factorization.

134000672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1885 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 134000672 is about 11575.8659287329. The cubic root of 134000672 is about 511.7238501073.

The spelling of 134000672 in words is "one hundred thirty-four million, six hundred seventy-two", and thus it is an aban number.

Divisors: 1 2 4 8 13 16 26 32 52 104 193 208 386 416 772 1544 1669 2509 3088 3338 5018 6176 6676 10036 13352 20072 21697 26704 40144 43394 53408 80288 86788 173576 322117 347152 644234 694304 1288468 2576936 4187521 5153872 8375042 10307744 16750084 33500168 67000336 134000672