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2098970560 = 26516340241
BaseRepresentation
bin111110100011011…
…1011111111000000
312102021120202022101
41331012323333000
513244314024220
6544140120144
7103004645461
oct17506737700
95367522271
102098970560
119878a5715
124a6b36054
13275b1a41b
1415ca9cd68
15c441230a
hex7d1bbfc0

2098970560 has 56 divisors (see below), whose sum is σ = 5028962256. Its totient is φ = 834416640.

The previous prime is 2098970539. The next prime is 2098970611. The reversal of 2098970560 is 650798902.

It is a self number, because there is not a number n which added to its sum of digits gives 2098970560.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32040 + ... + 72280.

Almost surely, 22098970560 is an apocalyptic number.

2098970560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2098970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2514481128).

2098970560 is an abundant number, since it is smaller than the sum of its proper divisors (2929991696).

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

2098970560 is a wasteful number, since it uses less digits than its factorization.

2098970560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40421 (or 40411 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 46.

The square root of 2098970560 is about 45814.5234614527. The cubic root of 2098970560 is about 1280.3698800851.

The spelling of 2098970560 in words is "two billion, ninety-eight million, nine hundred seventy thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 163 320 326 652 815 1304 1630 2608 3260 5216 6520 10432 13040 26080 40241 52160 80482 160964 201205 321928 402410 643856 804820 1287712 1609640 2575424 3219280 6438560 6559283 12877120 13118566 26237132 32796415 52474264 65592830 104948528 131185660 209897056 262371320 419794112 524742640 1049485280 2098970560