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2093616 = 243273167
BaseRepresentation
bin111111111001000110000
310221100220100
413333020300
51013443431
6112512400
723536560
oct7771060
93840810
102093616
1111aaa68
1284b700
13583c35
143c6da0
152b54e6
hex1ff230

2093616 has 120 divisors (see below), whose sum is σ = 7015424. Its totient is φ = 570240.

The previous prime is 2093603. The next prime is 2093617. The reversal of 2093616 is 6163902.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2093616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2093617) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31215 + ... + 31281.

22093616 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 2093616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3507712).

2093616 is an abundant number, since it is smaller than the sum of its proper divisors (4921808).

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

2093616 is a wasteful number, since it uses less digits than its factorization.

2093616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 2093616 is about 1446.9333087603. The cubic root of 2093616 is about 127.9280194253.

It can be divided in two parts, 20 and 93616, that added together give a square (93636 = 3062).

The spelling of 2093616 in words is "two million, ninety-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 36 42 48 56 62 63 67 72 84 93 112 124 126 134 144 168 186 201 217 248 252 268 279 336 372 402 434 469 496 504 536 558 603 651 744 804 868 938 1008 1072 1116 1206 1302 1407 1488 1608 1736 1876 1953 2077 2232 2412 2604 2814 3216 3472 3752 3906 4154 4221 4464 4824 5208 5628 6231 7504 7812 8308 8442 9648 10416 11256 12462 14539 15624 16616 16884 18693 22512 24924 29078 31248 33232 33768 37386 43617 49848 58156 67536 74772 87234 99696 116312 130851 149544 174468 232624 261702 299088 348936 523404 697872 1046808 2093616