Search a number
-
+
1000542136 = 231123221493
BaseRepresentation
bin111011101000110…
…000111110111000
32120201200210210011
4323220300332320
54022114322021
6243141031304
733536316316
oct7350607670
92521623704
101000542136
11473864130
1223b0b5534
1312c399b89
1496c4d0b6
155cc8bde1
hex3ba30fb8

1000542136 has 48 divisors (see below), whose sum is σ = 2139512760. Its totient is φ = 434998080.

The previous prime is 1000542133. The next prime is 1000542163. The reversal of 1000542136 is 6312450001.

It is a super-2 number, since 2×10005421362 = 2002169131822884992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000542133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35806 + ... + 57298.

Almost surely, 21000542136 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 1000542136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069756380).

1000542136 is an abundant number, since it is smaller than the sum of its proper divisors (1138970624).

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

1000542136 is a wasteful number, since it uses less digits than its factorization.

1000542136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21556 (or 21529 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 1000542136 is about 31631.3473630195. The cubic root of 1000542136 is about 1000.1806793530.

Adding to 1000542136 its reverse (6312450001), we get a palindrome (7312992137).

The spelling of 1000542136 in words is "one billion, five hundred forty-two thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 506 529 1012 1058 2024 2116 4232 5819 11638 21493 23276 42986 46552 85972 171944 236423 472846 494339 945692 988678 1891384 1977356 3954712 5437729 10875458 11369797 21750916 22739594 43501832 45479188 90958376 125067767 250135534 500271068 1000542136