Search a number
-
+
1033140042 = 233116128513
BaseRepresentation
bin111101100101000…
…111011101001010
32200000000221201000
4331211013131022
54103440440132
6250303435430
734413355044
oct7545073512
92600027630
101033140042
114901a9450
12249bb5b76
1313607148c
149b2d6a94
1560a7a87c
hex3d94774a

1033140042 has 64 divisors (see below), whose sum is σ = 2545729920. Its totient is φ = 307929600.

The previous prime is 1033139983. The next prime is 1033140107. The reversal of 1033140042 is 2400413301.

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

It is a junction number, because it is equal to n+sod(n) for n = 1033139997 and 1033140024.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 21978 + ... + 50490.

It is an arithmetic number, because the mean of its divisors is an integer number (39777030).

Almost surely, 21033140042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1033140042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272864960).

1033140042 is an abundant number, since it is smaller than the sum of its proper divisors (1512589878).

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

1033140042 is a wasteful number, since it uses less digits than its factorization.

1033140042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28596 (or 28590 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1033140042 is about 32142.4958893985. The cubic root of 1033140042 is about 1010.9268497471.

Adding to 1033140042 its reverse (2400413301), we get a palindrome (3433553343).

The spelling of 1033140042 in words is "one billion, thirty-three million, one hundred forty thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 61 66 99 122 183 198 297 366 549 594 671 1098 1342 1647 2013 3294 4026 6039 12078 18117 28513 36234 57026 85539 171078 256617 313643 513234 627286 769851 940929 1539702 1739293 1881858 2822787 3478586 5217879 5645574 8468361 10435758 15653637 16936722 19132223 31307274 38264446 46960911 57396669 93921822 114793338 172190007 344380014 516570021 1033140042