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1074816 = 2733311
BaseRepresentation
bin100000110011010000000
32000121101000
410012122000
5233343231
635012000
712064401
oct4063200
92017330
101074816
11674586
1243a000
132b82b2
141dd9a8
151636e6
hex106680

1074816 has 64 divisors (see below), whose sum is σ = 3182400. Its totient is φ = 357120.

The previous prime is 1074763. The next prime is 1074833. The reversal of 1074816 is 6184701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1074816.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3301 + ... + 3611.

It is an arithmetic number, because the mean of its divisors is an integer number (49725).

21074816 is an apocalyptic number.

1074816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1074816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591200).

1074816 is an abundant number, since it is smaller than the sum of its proper divisors (2107584).

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

1074816 is an equidigital number, since it uses as much as digits as its factorization.

1074816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1074816 is about 1036.7333311898. The cubic root of 1074816 is about 102.4341357548.

The spelling of 1074816 in words is "one million, seventy-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 311 384 432 576 622 864 933 1152 1244 1728 1866 2488 2799 3456 3732 4976 5598 7464 8397 9952 11196 14928 16794 19904 22392 29856 33588 39808 44784 59712 67176 89568 119424 134352 179136 268704 358272 537408 1074816