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3970134080 = 265111796301
BaseRepresentation
bin1110110010100011…
…0111000001000000
3101020200111201002222
43230220313001000
531112323242310
61453541430212
7200245403633
oct35450670100
911220451088
103970134080
111758045550
1292970b368
134b3695783
142993bbc1a
15183826055
hexeca37040

3970134080 has 112 divisors (see below), whose sum is σ = 10372587840. Its totient is φ = 1435392000.

The previous prime is 3970134067. The next prime is 3970134089. The reversal of 3970134080 is 804310793.

It is a Cunningham number, because it is equal to 630092-1.

It is a super-2 number, since 2×39701340802 = 31523929226354892800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3970134080.

It is not an unprimeable number, because it can be changed into a prime (3970134089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 626930 + ... + 633230.

Almost surely, 23970134080 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 3970134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5186293920).

3970134080 is an abundant number, since it is smaller than the sum of its proper divisors (6402453760).

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

3970134080 is a wasteful number, since it uses less digits than its factorization.

3970134080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6508 (or 6498 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 3970134080 is about 63008.9999920646. Note that the first 5 decimals coincide. The cubic root of 3970134080 is about 1583.4404121365.

The spelling of 3970134080 in words is "three billion, nine hundred seventy million, one hundred thirty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 179 220 320 352 358 440 704 716 880 895 1432 1760 1790 1969 2864 3520 3580 3938 5728 6301 7160 7876 9845 11456 12602 14320 15752 19690 25204 28640 31504 31505 39380 50408 57280 63008 63010 69311 78760 100816 126016 126020 138622 157520 201632 252040 277244 315040 346555 403264 504080 554488 630080 693110 1008160 1108976 1127879 1386220 2016320 2217952 2255758 2772440 4435904 4511516 5544880 5639395 9023032 11089760 11278790 12406669 18046064 22179520 22557580 24813338 36092128 45115160 49626676 62033345 72184256 90230320 99253352 124066690 180460640 198506704 248133380 360921280 397013408 496266760 794026816 992533520 1985067040 3970134080