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1971340056 = 2332714712659
BaseRepresentation
bin111010110000000…
…0100001100011000
312002101102110011200
41311200010030120
513014130340211
6523340354200
766565054050
oct16540041430
95071373150
101971340056
11921851a64
12470245960
1325555130a
14149b58560
15b8100b56
hex75804318

1971340056 has 96 divisors (see below), whose sum is σ = 6108211200. Its totient is φ = 562645440.

The previous prime is 1971340001. The next prime is 1971340061. The reversal of 1971340056 is 6500431791.

1971340056 is a `hidden beast` number, since 197 + 13 + 400 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1971340056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 740055 + ... + 742713.

It is an arithmetic number, because the mean of its divisors is an integer number (63627200).

Almost surely, 21971340056 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 1971340056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3054105600).

1971340056 is an abundant number, since it is smaller than the sum of its proper divisors (4136871144).

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

1971340056 is a wasteful number, since it uses less digits than its factorization.

1971340056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4149 (or 4142 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1971340056 is about 44399.7754048374. The cubic root of 1971340056 is about 1253.8738607735.

The spelling of 1971340056 in words is "one billion, nine hundred seventy-one million, three hundred forty thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 1471 2659 2942 4413 5318 5884 7977 8826 10297 10636 11768 13239 15954 17652 18613 20594 21272 23931 26478 30891 31908 35304 37226 41188 47862 52956 55839 61782 63816 74452 82376 92673 95724 105912 111678 123564 148904 167517 185346 191448 223356 247128 335034 370692 446712 670068 741384 1340136 3911389 7822778 11734167 15645556 23468334 27379723 31291112 35202501 46936668 54759446 70405002 82139169 93873336 109518892 140810004 164278338 219037784 246417507 281620008 328556676 492835014 657113352 985670028 1971340056