Search a number
-
+
2010143104 = 27173724967
BaseRepresentation
bin111011111010000…
…0101100110000000
312012002102211221121
41313310011212000
513104044034404
6531244202024
7100545635344
oct16764054600
95162384847
102010143104
119417452a2
12481239314
132605b90b8
14150d79624
15bb717e54
hex77d05980

2010143104 has 64 divisors (see below), whose sum is σ = 4354918560. Its totient is φ = 920346624.

The previous prime is 2010143089. The next prime is 2010143123. The reversal of 2010143104 is 4013410102.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68029 + ... + 92995.

Almost surely, 22010143104 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 2010143104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177459280).

2010143104 is an abundant number, since it is smaller than the sum of its proper divisors (2344775456).

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

2010143104 is a wasteful number, since it uses less digits than its factorization.

2010143104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25035 (or 25023 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2010143104 is about 44834.6194809324. The cubic root of 2010143104 is about 1262.0473777152.

Adding to 2010143104 its reverse (4013410102), we get a palindrome (6023553206).

The spelling of 2010143104 in words is "two billion, ten million, one hundred forty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 17 32 34 37 64 68 74 128 136 148 272 296 544 592 629 1088 1184 1258 2176 2368 2516 4736 5032 10064 20128 24967 40256 49934 80512 99868 199736 399472 424439 798944 848878 923779 1597888 1697756 1847558 3195776 3395512 3695116 6791024 7390232 13582048 14780464 15704243 27164096 29560928 31408486 54328192 59121856 62816972 118243712 125633944 251267888 502535776 1005071552 2010143104