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3970922000 = 24533495689
BaseRepresentation
bin1110110010101111…
…0111011000010000
3101020201222201221012
43230223313120100
531113024001000
61454010350052
7200255165033
oct35453673020
911221881835
103970922000
111758533521
12929a2b328
134b38b02b6
1429954501a
1518392e735
hexecaf7610

3970922000 has 80 divisors (see below), whose sum is σ = 9630894000. Its totient is φ = 1583539200.

The previous prime is 3970921991. The next prime is 3970922003. The reversal of 3970922000 is 2290793.

It can be written as a sum of positive squares in 8 ways, for example, as 152670736 + 3818251264 = 12356^2 + 61792^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×39709220003 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3970922003) 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 15 ways as a sum of consecutive naturals, for example, 695156 + ... + 700844.

It is an arithmetic number, because the mean of its divisors is an integer number (120386175).

Almost surely, 23970922000 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 3970922000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4815447000).

3970922000 is an abundant number, since it is smaller than the sum of its proper divisors (5659972000).

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

3970922000 is a wasteful number, since it uses less digits than its factorization.

3970922000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6061 (or 6045 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 32.

The square root of 3970922000 is about 63015.2521220061. The cubic root of 3970922000 is about 1583.5451560249.

The spelling of 3970922000 in words is "three billion, nine hundred seventy million, nine hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 349 400 500 698 1000 1396 1745 2000 2792 3490 5584 5689 6980 8725 11378 13960 17450 22756 27920 28445 34900 43625 45512 56890 69800 87250 91024 113780 139600 142225 174500 227560 284450 349000 455120 568900 698000 711125 1137800 1422250 1985461 2275600 2844500 3970922 5689000 7941844 9927305 11378000 15883688 19854610 31767376 39709220 49636525 79418440 99273050 158836880 198546100 248182625 397092200 496365250 794184400 992730500 1985461000 3970922000