Search a number
-
+
1001454012 = 2232132139859
BaseRepresentation
bin111011101100001…
…111100110111100
32120210102010122100
4323230033212330
54022333012022
6243212345100
733550134666
oct7354174674
92523363570
101001454012
11474327249
1223b475190
1312c628c50
1497009536
155cdbc1ac
hex3bb0f9bc

1001454012 has 36 divisors (see below), whose sum is σ = 2726181640. Its totient is φ = 308139552.

The previous prime is 1001454011. The next prime is 1001454043. The reversal of 1001454012 is 2104541001.

1001454012 is a `hidden beast` number, since 100 + 14 + 540 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10014540122 = 2005820276301792288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001454011) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1069462 + ... + 1070397.

Almost surely, 21001454012 is an apocalyptic number.

1001454012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001454012 is an abundant number, since it is smaller than the sum of its proper divisors (1724727628).

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

1001454012 is a wasteful number, since it uses less digits than its factorization.

1001454012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139882 (or 2139877 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1001454012 is about 31645.7581991647. The cubic root of 1001454012 is about 1000.4844359506.

Adding to 1001454012 its reverse (2104541001), we get a palindrome (3105995013).

The spelling of 1001454012 in words is "one billion, one million, four hundred fifty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 2139859 4279718 6419577 8559436 12839154 19258731 25678308 27818167 38517462 55636334 77034924 83454501 111272668 166909002 250363503 333818004 500727006 1001454012