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1970139984 = 243471495861
BaseRepresentation
bin111010101101101…
…1111001101010000
312002022011110222120
41311123133031100
513013323434414
6523254534240
766551625231
oct16533371520
95068143876
101970139984
1192110236a
1246b967380
13255221007
14149925088
15b7e652a9
hex756df350

1970139984 has 80 divisors (see below), whose sum is σ = 5233593600. Its totient is φ = 638318080.

The previous prime is 1970139973. The next prime is 1970140061. The reversal of 1970139984 is 4899310791.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333214 + ... + 339074.

It is an arithmetic number, because the mean of its divisors is an integer number (65419920).

Almost surely, 21970139984 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 1970139984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2616796800).

1970139984 is an abundant number, since it is smaller than the sum of its proper divisors (3263453616).

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

1970139984 is a wasteful number, since it uses less digits than its factorization.

1970139984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6068 (or 6062 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 51.

The square root of 1970139984 is about 44386.2589547711. The cubic root of 1970139984 is about 1253.6193732483.

It can be divided in two parts, 19701 and 39984, that added together give a triangular number (59685 = T345).

The spelling of 1970139984 in words is "one billion, nine hundred seventy million, one hundred thirty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 149 188 282 298 376 447 564 596 752 894 1128 1192 1788 2256 2384 3576 5861 7003 7152 11722 14006 17583 21009 23444 28012 35166 42018 46888 56024 70332 84036 93776 112048 140664 168072 275467 281328 336144 550934 826401 873289 1101868 1652802 1746578 2203736 2619867 3305604 3493156 4407472 5239734 6611208 6986312 10479468 13222416 13972624 20958936 41044583 41917872 82089166 123133749 164178332 246267498 328356664 492534996 656713328 985069992 1970139984