Search a number
-
+
2060282304 = 263644159
BaseRepresentation
bin111101011001101…
…0110100111000000
312022120210012000000
41322303112213000
513204413013204
6540235000000
7102025052643
oct17263264700
95276705000
102060282304
11967a80653
12495b99000
1326aac2972
141578aba5a
15c0d1e039
hex7acd69c0

2060282304 has 98 divisors (see below), whose sum is σ = 6129893760. Its totient is φ = 686745216.

The previous prime is 2060282243. The next prime is 2060282321. The reversal of 2060282304 is 4032820602.

2060282304 is a `hidden beast` number, since 20 + 60 + 282 + 304 = 666.

2060282304 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 13 ways as a sum of consecutive naturals, for example, 24577 + ... + 68735.

Almost surely, 22060282304 is an apocalyptic number.

2060282304 is a gapful number since it is divisible by the number (24) 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 2060282304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064946880).

2060282304 is an abundant number, since it is smaller than the sum of its proper divisors (4069611456).

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

2060282304 is an frugal number, since it uses more digits than its factorization.

2060282304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44189 (or 44164 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2060282304 is about 45390.3327152379. The cubic root of 2060282304 is about 1272.4544478015.

The spelling of 2060282304 in words is "two billion, sixty million, two hundred eighty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2592 2916 3888 5184 5832 7776 11664 15552 23328 44159 46656 88318 132477 176636 264954 353272 397431 529908 706544 794862 1059816 1192293 1413088 1589724 2119632 2384586 2826176 3179448 3576879 4239264 4769172 6358896 7153758 8478528 9538344 10730637 12717792 14307516 19076688 21461274 25435584 28615032 32191911 38153376 42922548 57230064 64383822 76306752 85845096 114460128 128767644 171690192 228920256 257535288 343380384 515070576 686760768 1030141152 2060282304