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2520700864 = 2611107109307
BaseRepresentation
bin1001011000111110…
…1101011111000000
320111200010212112021
42112033231133000
520130244411424
61054043211224
7116315414053
oct22617553700
96450125467
102520700864
111083962960
125a4216b14
133122c9896
1419cabca9a
15eb4694e4
hex963ed7c0

2520700864 has 112 divisors (see below), whose sum is σ = 5576376960. Its totient is φ = 1120988160.

The previous prime is 2520700753. The next prime is 2520700907. The reversal of 2520700864 is 4680070252.

It is a congruent number.

It is an unprimeable number.

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, 8210599 + ... + 8210905.

It is an arithmetic number, because the mean of its divisors is an integer number (49789080).

Almost surely, 22520700864 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 2520700864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2788188480).

2520700864 is an abundant number, since it is smaller than the sum of its proper divisors (3055676096).

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

2520700864 is a wasteful number, since it uses less digits than its factorization.

2520700864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 2520700864 is about 50206.5818792716. The cubic root of 2520700864 is about 1360.9445687248.

The spelling of 2520700864 in words is "two billion, five hundred twenty million, seven hundred thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 107 109 176 214 218 307 352 428 436 614 704 856 872 1177 1199 1228 1712 1744 2354 2398 2456 3377 3424 3488 4708 4796 4912 6754 6848 6976 9416 9592 9824 11663 13508 18832 19184 19648 23326 27016 32849 33463 37664 38368 46652 54032 65698 66926 75328 76736 93304 108064 128293 131396 133852 186608 216128 256586 262792 267704 361339 368093 373216 513172 525584 535408 722678 736186 746432 1026344 1051168 1070816 1445356 1472372 2052688 2102336 2141632 2890712 2944744 3580541 4105376 5781424 5889488 7161082 8210752 11562848 11778976 14322164 23125696 23557952 28644328 39385951 57288656 78771902 114577312 157543804 229154624 315087608 630175216 1260350432 2520700864