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2093312 = 28131737
BaseRepresentation
bin111111111000100000000
310221100111002
413333010000
51013441222
6112511132
723535644
oct7770400
93840432
102093312
1111aa811
1284b4a8
13583a60
143c6c24
152b5392
hex1ff100

2093312 has 72 divisors (see below), whose sum is σ = 4893336. Its totient is φ = 884736.

The previous prime is 2093303. The next prime is 2093317. The reversal of 2093312 is 2133902.

It can be written as a sum of positive squares in 4 ways, for example, as 614656 + 1478656 = 784^2 + 1216^2 .

It is not an unprimeable number, because it can be changed into a prime (2093317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56558 + ... + 56594.

It is an arithmetic number, because the mean of its divisors is an integer number (67963).

22093312 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 2093312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2446668).

2093312 is an abundant number, since it is smaller than the sum of its proper divisors (2800024).

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

2093312 is a wasteful number, since it uses less digits than its factorization.

2093312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 2093312 is about 1446.8282551844. The cubic root of 2093312 is about 127.9218272677.

The spelling of 2093312 in words is "two million, ninety-three thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 17 26 32 34 37 52 64 68 74 104 128 136 148 208 221 256 272 296 416 442 481 544 592 629 832 884 962 1088 1184 1258 1664 1768 1924 2176 2368 2516 3328 3536 3848 4352 4736 5032 7072 7696 8177 9472 10064 14144 15392 16354 20128 28288 30784 32708 40256 56576 61568 65416 80512 123136 130832 161024 261664 523328 1046656 2093312