Search a number
-
+
1000000134 = 233721919891
BaseRepresentation
bin111011100110101…
…100101010000110
32120200200021022000
4323212230222012
54022000001014
6243121250130
733531601200
oct7346545206
92520607260
101000000134
114735239a1
1223aa93946
1312c23a273
1496b4b770
155cbd1509
hex3b9aca86

1000000134 has 96 divisors (see below), whose sum is σ = 2721225600. Its totient is φ = 270663120.

The previous prime is 1000000123. The next prime is 1000000181. The reversal of 1000000134 is 4310000001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40329 + ... + 60219.

It is an arithmetic number, because the mean of its divisors is an integer number (28346100).

Almost surely, 21000000134 is an apocalyptic number.

1000000134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000000134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360612800).

1000000134 is an abundant number, since it is smaller than the sum of its proper divisors (1721225466).

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

1000000134 is a wasteful number, since it uses less digits than its factorization.

1000000134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19935 (or 19922 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1000000134 is about 31622.7787204098. The cubic root of 1000000134 is about 1000.0000446667. Note that the first 4 decimals are identical.

Adding to 1000000134 its reverse (4310000001), we get a palindrome (5310000135).

The spelling of 1000000134 in words is "one billion, one hundred thirty-four", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 49 54 57 63 98 114 126 133 147 171 189 266 294 342 378 399 441 513 798 882 931 1026 1197 1323 1862 2394 2646 2793 3591 5586 7182 8379 16758 19891 25137 39782 50274 59673 119346 139237 179019 278474 358038 377929 417711 537057 755858 835422 974659 1074114 1133787 1253133 1949318 2267574 2506266 2645503 2923977 3401361 3759399 5291006 5847954 6802722 7518798 7936509 8771931 10204083 15873018 17543862 18518521 20408166 23809527 26315793 37037042 47619054 52631586 55555563 71428581 111111126 142857162 166666689 333333378 500000067 1000000134