Search a number
-
+
2090592 = 253271761
BaseRepresentation
bin111111110011001100000
310221012202100
413332121200
51013344332
6112450400
723525010
oct7763140
93835670
102090592
1111a8769
12849a00
1358274a
143c5c40
152b467c
hex1fe660

2090592 has 144 divisors (see below), whose sum is σ = 7312032. Its totient is φ = 552960.

The previous prime is 2090573. The next prime is 2090593. The reversal of 2090592 is 2950902.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2090593) 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, 34242 + ... + 34302.

It is an arithmetic number, because the mean of its divisors is an integer number (50778).

22090592 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 2090592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3656016).

2090592 is an abundant number, since it is smaller than the sum of its proper divisors (5221440).

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

2090592 is a wasteful number, since it uses less digits than its factorization.

2090592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 2090592 is about 1445.8879624646. The cubic root of 2090592 is about 127.8663970557.

The spelling of 2090592 in words is "two million, ninety thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 61 63 68 72 84 96 102 112 119 122 126 136 144 153 168 183 204 224 238 244 252 272 288 306 336 357 366 408 427 476 488 504 544 549 612 672 714 732 816 854 952 976 1008 1037 1071 1098 1224 1281 1428 1464 1632 1708 1904 1952 2016 2074 2142 2196 2448 2562 2856 2928 3111 3416 3808 3843 4148 4284 4392 4896 5124 5712 5856 6222 6832 7259 7686 8296 8568 8784 9333 10248 11424 12444 13664 14518 15372 16592 17136 17568 18666 20496 21777 24888 29036 30744 33184 34272 37332 40992 43554 49776 58072 61488 65331 74664 87108 99552 116144 122976 130662 149328 174216 232288 261324 298656 348432 522648 696864 1045296 2090592