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2030710656 = 273131723929
BaseRepresentation
bin111100100001010…
…0010111110000000
312020112010210022210
41321002202332000
513124330220111
6533301102120
7101215520142
oct17102427600
95215123283
102030710656
11952312a77
124880b7940
1326493a950
141539b0c92
15bd42c0a6
hex790a2f80

2030710656 has 128 divisors (see below), whose sum is σ = 6150967200. Its totient is φ = 588054528.

The previous prime is 2030710613. The next prime is 2030710699. The reversal of 2030710656 is 6560170302.

It is an interprime number because it is at equal distance from previous prime (2030710613) and next prime (2030710699).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

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, 72900 + ... + 96828.

Almost surely, 22030710656 is an apocalyptic number.

2030710656 is a gapful number since it is divisible by the number (26) 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 2030710656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3075483600).

2030710656 is an abundant number, since it is smaller than the sum of its proper divisors (4120256544).

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

2030710656 is a wasteful number, since it uses less digits than its factorization.

2030710656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23976 (or 23964 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 2030710656 is about 45063.4070616060. The cubic root of 2030710656 is about 1266.3371543000.

Adding to 2030710656 its reverse (6560170302), we get a palindrome (8590880958).

The spelling of 2030710656 in words is "two billion, thirty million, seven hundred ten thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 128 136 156 192 204 208 221 272 312 384 408 416 442 544 624 663 816 832 884 1088 1248 1326 1632 1664 1768 2176 2496 2652 3264 3536 4992 5304 6528 7072 10608 14144 21216 23929 28288 42432 47858 71787 84864 95716 143574 191432 287148 311077 382864 406793 574296 622154 765728 813586 933231 1148592 1220379 1244308 1531456 1627172 1866462 2297184 2440758 2488616 3062912 3254344 3732924 4594368 4881516 4977232 5288309 6508688 7465848 9188736 9763032 9954464 10576618 13017376 14931696 15864927 19526064 19908928 21153236 26034752 29863392 31729854 39052128 39817856 42306472 52069504 59726784 63459708 78104256 84612944 119453568 126919416 156208512 169225888 253838832 338451776 507677664 676903552 1015355328 2030710656