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1485216 = 2535191
BaseRepresentation
bin101101010100110100000
32210110100000
411222212200
5340011331
651500000
715424035
oct5524640
92713300
101485216
11924957
125b7600
13400035
142a938c
151e50e6
hex16a9a0

1485216 has 72 divisors (see below), whose sum is σ = 4402944. Its totient is φ = 492480.

The previous prime is 1485199. The next prime is 1485221. The reversal of 1485216 is 6125841.

It is a tau number, because it is divible by the number of its divisors (72).

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 1485216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7681 + ... + 7871.

It is an arithmetic number, because the mean of its divisors is an integer number (61152).

21485216 is an apocalyptic number.

1485216 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 1485216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201472).

1485216 is an abundant number, since it is smaller than the sum of its proper divisors (2917728).

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

1485216 is an equidigital number, since it uses as much as digits as its factorization.

1485216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 196 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 1485216 is about 1218.6943833464. The cubic root of 1485216 is about 114.0941051219.

The spelling of 1485216 in words is "one million, four hundred eighty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 191 216 243 288 324 382 432 486 573 648 764 864 972 1146 1296 1528 1719 1944 2292 2592 3056 3438 3888 4584 5157 6112 6876 7776 9168 10314 13752 15471 18336 20628 27504 30942 41256 46413 55008 61884 82512 92826 123768 165024 185652 247536 371304 495072 742608 1485216