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1377216 = 2633797
BaseRepresentation
bin101010000001111000000
32120222012000
411100033000
5323032331
645304000
714464131
oct5201700
92528160
101377216
118607a5
12565000
13392b29
1427bc88
151c30e6
hex1503c0

1377216 has 56 divisors (see below), whose sum is σ = 4053840. Its totient is φ = 458496.

The previous prime is 1377191. The next prime is 1377223. The reversal of 1377216 is 6127731.

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

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 1377216.

It is a congruent number.

It is an unprimeable number.

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, 1330 + ... + 2126.

It is an arithmetic number, because the mean of its divisors is an integer number (72390).

21377216 is an apocalyptic number.

1377216 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 1377216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026920).

1377216 is an abundant number, since it is smaller than the sum of its proper divisors (2676624).

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

1377216 is an equidigital number, since it uses as much as digits as its factorization.

1377216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 802 counting only the distinct ones).

The product of its digits is 1764, while the sum is 27.

The square root of 1377216 is about 1173.5484651262. The cubic root of 1377216 is about 111.2587099186.

The spelling of 1377216 in words is "one million, three hundred seventy-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 797 864 1594 1728 2391 3188 4782 6376 7173 9564 12752 14346 19128 21519 25504 28692 38256 43038 51008 57384 76512 86076 114768 153024 172152 229536 344304 459072 688608 1377216