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1084072 = 231197127
BaseRepresentation
bin100001000101010101000
32001002001211
410020222220
5234142242
635122504
712133363
oct4105250
92032054
101084072
11680530
12443434
132bc582
142030da
15166317
hex108aa8

1084072 has 32 divisors (see below), whose sum is σ = 2257920. Its totient is φ = 483840.

The previous prime is 1084067. The next prime is 1084079. The reversal of 1084072 is 2704801.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1084079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8473 + ... + 8599.

It is an arithmetic number, because the mean of its divisors is an integer number (70560).

21084072 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 1084072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128960).

1084072 is an abundant number, since it is smaller than the sum of its proper divisors (1173848).

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

1084072 is a wasteful number, since it uses less digits than its factorization.

1084072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 1084072 is about 1041.1877832553. The cubic root of 1084072 is about 102.7273399355.

Adding to 1084072 its reverse (2704801), we get a palindrome (3788873).

The spelling of 1084072 in words is "one million, eighty-four thousand, seventy-two".

Divisors: 1 2 4 8 11 22 44 88 97 127 194 254 388 508 776 1016 1067 1397 2134 2794 4268 5588 8536 11176 12319 24638 49276 98552 135509 271018 542036 1084072