Search a number
-
+
3120104286 = 234134992969
BaseRepresentation
bin1011100111111001…
…0000001101011110
322001110000201110000
42321332100031132
522342221314121
61233334355130
7140214306645
oct27176201536
98043021400
103120104286
111361243592
12730abbaa6
133a9546a70
1421854c35c
15133dba526
hexb9f9035e

3120104286 has 80 divisors (see below), whose sum is σ = 7546770000. Its totient is φ = 957785472.

The previous prime is 3120104263. The next prime is 3120104293. The reversal of 3120104286 is 6824010213.

3120104286 is a `hidden beast` number, since 31 + 201 + 0 + 428 + 6 = 666.

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 39 ways as a sum of consecutive naturals, for example, 1049410 + ... + 1052378.

It is an arithmetic number, because the mean of its divisors is an integer number (94334625).

Almost surely, 23120104286 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3120104286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3773385000).

3120104286 is an abundant number, since it is smaller than the sum of its proper divisors (4426665714).

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

3120104286 is a wasteful number, since it uses less digits than its factorization.

3120104286 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3495 (or 3486 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3120104286 is about 55857.8936767222. The cubic root of 3120104286 is about 1461.2449951544.

Adding to 3120104286 its reverse (6824010213), we get a palindrome (9944114499).

The spelling of 3120104286 in words is "three billion, one hundred twenty million, one hundred four thousand, two hundred eighty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 499 702 998 1053 1497 2106 2969 2994 4491 5938 6487 8907 8982 12974 13473 17814 19461 26721 26946 38597 38922 40419 53442 58383 77194 80163 80838 115791 116766 160326 175149 231582 240489 347373 350298 480978 525447 694746 1042119 1050894 1481531 2084238 2963062 3126357 4444593 6252714 8889186 13333779 19259903 26667558 38519806 40001337 57779709 80002674 115559418 120004011 173339127 240008022 346678254 520017381 1040034762 1560052143 3120104286