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5610000990 = 23511192930853
BaseRepresentation
bin1010011100110000…
…11101001001011110
3112110222012120121110
411032120131021132
542442130012430
62324401442450
7256010136006
oct51630351136
915428176543
105610000990
112419776860
121106940426
136b5349619
143b30cd006
1522c79c7b0
hex14e61d25e

5610000990 has 128 divisors (see below), whose sum is σ = 15994713600. Its totient is φ = 1243952640.

The previous prime is 5610000967. The next prime is 5610001021. The reversal of 5610000990 is 990000165.

It is a super-2 number, since 2×56100009902 = 62944222215601960200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

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 63 ways as a sum of consecutive naturals, for example, 166404 + ... + 197256.

It is an arithmetic number, because the mean of its divisors is an integer number (124958700).

Almost surely, 25610000990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5610000990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7997356800).

5610000990 is an abundant number, since it is smaller than the sum of its proper divisors (10384712610).

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

5610000990 is a wasteful number, since it uses less digits than its factorization.

5610000990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30922.

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 5610000990 is about 74899.9398531134. The cubic root of 5610000990 is about 1776.8645080199.

The spelling of 5610000990 in words is "five billion, six hundred ten million, nine hundred ninety", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 11 15 19 22 29 30 33 38 55 57 58 66 87 95 110 114 145 165 174 190 209 285 290 319 330 418 435 551 570 627 638 870 957 1045 1102 1254 1595 1653 1914 2090 2755 3135 3190 3306 4785 5510 6061 6270 8265 9570 12122 16530 18183 30305 30853 36366 60610 61706 90915 92559 154265 181830 185118 308530 339383 462795 586207 678766 894737 925590 1018149 1172414 1696915 1758621 1789474 2036298 2684211 2931035 3393830 3517242 4473685 5090745 5368422 5862070 6448277 8793105 8947370 9842107 10181490 12896554 13421055 17000003 17586210 19344831 19684214 26842110 29526321 32241385 34000006 38689662 49210535 51000009 59052642 64482770 85000015 96724155 98421070 102000018 147631605 170000030 187000033 193448310 255000045 295263210 374000066 510000090 561000099 935000165 1122000198 1870000330 2805000495 5610000990