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920001012 = 2237233115361
BaseRepresentation
bin110110110101100…
…001100111110100
32101010010220010120
4312311201213310
53341010013022
6231142451540
731540610460
oct6665414764
92333126116
10920001012
11432353417
12218133bb0
131187aa3c8
148a2854a0
1555b7cd5c
hex36d619f4

920001012 has 96 divisors (see below), whose sum is σ = 2642755584. Its totient is φ = 243302400.

The previous prime is 920001011. The next prime is 920001023. The reversal of 920001012 is 210100029.

It is a happy number.

920001012 is a modest number, since divided by 1012 gives 920 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 920000982 and 920001000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (920001011) 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 31 ways as a sum of consecutive naturals, for example, 52212 + ... + 67572.

It is an arithmetic number, because the mean of its divisors is an integer number (27528704).

Almost surely, 2920001012 is an apocalyptic number.

920001012 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 920001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321377792).

920001012 is an abundant number, since it is smaller than the sum of its proper divisors (1722754572).

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

920001012 is a wasteful number, since it uses less digits than its factorization.

920001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15429 (or 15427 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 920001012 is about 30331.5184585276. The cubic root of 920001012 is about 972.5891828346.

The spelling of 920001012 in words is "nine hundred twenty million, one thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 31 42 46 62 69 84 92 93 124 138 161 186 217 276 322 372 434 483 644 651 713 868 966 1302 1426 1932 2139 2604 2852 4278 4991 8556 9982 14973 15361 19964 29946 30722 46083 59892 61444 92166 107527 184332 215054 322581 353303 430108 476191 645162 706606 952382 1059909 1290324 1413212 1428573 1904764 2119818 2473121 2857146 3333337 4239636 4946242 5714292 6666674 7419363 9892484 10000011 10952393 13333348 14838726 20000022 21904786 29677452 32857179 40000044 43809572 65714358 76666751 131428716 153333502 230000253 306667004 460000506 920001012