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1090944 = 2732947
BaseRepresentation
bin100001010010110000000
32001102111100
410022112000
5234402234
635214400
712162411
oct4122600
92042440
101090944
11685708
12447400
132c273a
14205808
15168399
hex10a580

1090944 has 48 divisors (see below), whose sum is σ = 3142620. Its totient is φ = 363264.

The previous prime is 1090939. The next prime is 1090949. The reversal of 1090944 is 4490901.

It is an interprime number because it is at equal distance from previous prime (1090939) and next prime (1090949).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10909442 = 2380317622272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1090949) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 679 + ... + 1625.

21090944 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 1090944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571310).

1090944 is an abundant number, since it is smaller than the sum of its proper divisors (2051676).

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

1090944 is an equidigital number, since it uses as much as digits as its factorization.

1090944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1090944 is about 1044.4826470555. The cubic root of 1090944 is about 102.9439478854.

The spelling of 1090944 in words is "one million, ninety thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 947 1152 1894 2841 3788 5682 7576 8523 11364 15152 17046 22728 30304 34092 45456 60608 68184 90912 121216 136368 181824 272736 363648 545472 1090944