Search a number
-
+
2103068016 = 243374714797
BaseRepresentation
bin111110101011010…
…0100010101110000
312102120021220222000
41331112210111300
513301341134031
6544404014000
7103054532430
oct17526442560
95376256860
102103068016
1198a144145
124a8391300
1327692345a
1415d4482c0
15c49713e6
hex7d5a4570

2103068016 has 160 divisors (see below), whose sum is σ = 7046215680. Its totient is φ = 588052224.

The previous prime is 2103068003. The next prime is 2103068021. The reversal of 2103068016 is 6108603012.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134730 + ... + 149526.

It is an arithmetic number, because the mean of its divisors is an integer number (44038848).

Almost surely, 22103068016 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 2103068016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3523107840).

2103068016 is an abundant number, since it is smaller than the sum of its proper divisors (4943147664).

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

2103068016 is a wasteful number, since it uses less digits than its factorization.

2103068016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14868 (or 14856 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2103068016 is about 45859.2195310823. The cubic root of 2103068016 is about 1281.2024865157.

The spelling of 2103068016 in words is "two billion, one hundred three million, sixty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 47 48 54 56 63 72 84 94 108 112 126 141 144 168 188 189 216 252 282 329 336 376 378 423 432 504 564 658 752 756 846 987 1008 1128 1269 1316 1512 1692 1974 2256 2538 2632 2961 3024 3384 3948 5076 5264 5922 6768 7896 8883 10152 11844 14797 15792 17766 20304 23688 29594 35532 44391 47376 59188 71064 88782 103579 118376 133173 142128 177564 207158 236752 266346 310737 355128 399519 414316 532692 621474 695459 710256 799038 828632 932211 1065384 1242948 1390918 1598076 1657264 1864422 2086377 2130768 2485896 2781836 2796633 3196152 3728844 4172754 4868213 4971792 5563672 5593266 6259131 6392304 7457688 8345508 9736426 11127344 11186532 12518262 14604639 14915376 16691016 18777393 19472852 22373064 25036524 29209278 33382032 37554786 38945704 43813917 44746128 50073048 58418556 75109572 77891408 87627834 100146096 116837112 131441751 150219144 175255668 233674224 262883502 300438288 350511336 525767004 701022672 1051534008 2103068016