Search a number
-
+
2701325214 = 23472714793
BaseRepresentation
bin1010000100000010…
…1111001110011110
320222021000112120000
42201000233032132
521013014401324
61124014435130
7123640612500
oct24100571636
96867015500
102701325214
111166911685
12634802aa6
1334085b9b3
141b8a99d70
1510c2479c9
hexa102f39e

2701325214 has 120 divisors (see below), whose sum is σ = 7141871088. Its totient is φ = 760777920.

The previous prime is 2701325173. The next prime is 2701325219. The reversal of 2701325214 is 4125231072.

2701325214 is a `hidden beast` number, since 2 + 7 + 0 + 132 + 521 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2701325219) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 561202 + ... + 565994.

Almost surely, 22701325214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2701325214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3570935544).

2701325214 is an abundant number, since it is smaller than the sum of its proper divisors (4440545874).

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

2701325214 is a wasteful number, since it uses less digits than its factorization.

2701325214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4892 (or 4876 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2701325214 is about 51974.2745403916. The cubic root of 2701325214 is about 1392.7044312845.

Adding to 2701325214 its reverse (4125231072), we get a palindrome (6826556286).

The spelling of 2701325214 in words is "two billion, seven hundred one million, three hundred twenty-five thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 71 81 98 126 142 147 162 189 213 294 378 426 441 497 567 639 882 994 1134 1278 1323 1491 1917 2646 2982 3479 3834 3969 4473 4793 5751 6958 7938 8946 9586 10437 11502 13419 14379 20874 26838 28758 31311 33551 40257 43137 62622 67102 80514 86274 93933 100653 129411 187866 201306 234857 258822 281799 301959 340303 388233 469714 563598 603918 680606 704571 776466 905877 1020909 1409142 1811754 2041818 2113713 2382121 2717631 3062727 4227426 4764242 5435262 6125454 6341139 7146363 9188181 12682278 14292726 16674847 18376362 19023417 21439089 27564543 33349694 38046834 42878178 50024541 55129086 64317267 100049082 128634534 150073623 192951801 300147246 385903602 450220869 900441738 1350662607 2701325214