Search a number
-
+
3561096 = 2337114147
BaseRepresentation
bin1101100101011010001000
320200220220110
431211122020
51402423341
6204154320
742161130
oct15453210
96626813
103561096
112012560
1212389a0
13978b76
14689ac0
154a5216
hex365688

3561096 has 128 divisors (see below), whose sum is σ = 11612160. Its totient is φ = 883200.

The previous prime is 3561091. The next prime is 3561097. The reversal of 3561096 is 6901653.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3561091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75745 + ... + 75791.

It is an arithmetic number, because the mean of its divisors is an integer number (90720).

Almost surely, 23561096 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 3561096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5806080).

3561096 is an abundant number, since it is smaller than the sum of its proper divisors (8051064).

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

3561096 is a wasteful number, since it uses less digits than its factorization.

3561096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 3561096 is about 1887.0866434798. The cubic root of 3561096 is about 152.7078023520.

The spelling of 3561096 in words is "three million, five hundred sixty-one thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 41 42 44 47 56 66 77 82 84 88 94 123 132 141 154 164 168 188 231 246 264 282 287 308 328 329 376 451 462 492 517 564 574 616 658 861 902 924 984 987 1034 1128 1148 1316 1353 1551 1722 1804 1848 1927 1974 2068 2296 2632 2706 3102 3157 3444 3608 3619 3854 3948 4136 5412 5781 6204 6314 6888 7238 7708 7896 9471 10824 10857 11562 12408 12628 13489 14476 15416 18942 21197 21714 23124 25256 26978 28952 37884 40467 42394 43428 46248 53956 63591 75768 80934 84788 86856 107912 127182 148379 161868 169576 254364 296758 323736 445137 508728 593516 890274 1187032 1780548 3561096