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1022006934 = 2321316726153
BaseRepresentation
bin111100111010101…
…001011010010110
32122020002022221200
4330322221122112
54043113210214
6245225053330
734216626024
oct7472513226
92566068850
101022006934
11484994a33
12246327246
13133973c40
1499a39714
155eacbd09
hex3cea9696

1022006934 has 48 divisors (see below), whose sum is σ = 2399054112. Its totient is φ = 312568704.

The previous prime is 1022006911. The next prime is 1022006939. The reversal of 1022006934 is 4396002201.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1022006898 and 1022006907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022006939) 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 23 ways as a sum of consecutive naturals, for example, 26002 + ... + 52154.

It is an arithmetic number, because the mean of its divisors is an integer number (49980294).

Almost surely, 21022006934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022006934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199527056).

1022006934 is an abundant number, since it is smaller than the sum of its proper divisors (1377047178).

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

1022006934 is a wasteful number, since it uses less digits than its factorization.

1022006934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26341 (or 26338 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1022006934 is about 31968.8431758173. The cubic root of 1022006934 is about 1007.2824813905.

The spelling of 1022006934 in words is "one billion, twenty-two million, six thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 167 234 334 501 1002 1503 2171 3006 4342 6513 13026 19539 26153 39078 52306 78459 156918 235377 339989 470754 679978 1019967 2039934 3059901 4367551 6119802 8735102 13102653 26205306 39307959 56778163 78615918 113556326 170334489 340668978 511003467 1022006934