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1214080 = 2757271
BaseRepresentation
bin100101000011010000000
32021200101221
410220122000
5302322310
642004424
713214410
oct4503200
92250357
101214080
1175a17a
124a6714
133367ba
14238640
1518eada
hex128680

1214080 has 64 divisors (see below), whose sum is σ = 3329280. Its totient is φ = 414720.

The previous prime is 1214077. The next prime is 1214093. The reversal of 1214080 is 804121.

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 (16).

It is a congruent number.

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, 4345 + ... + 4615.

It is an arithmetic number, because the mean of its divisors is an integer number (52020).

21214080 is an apocalyptic number.

1214080 is a gapful number since it is divisible by the number (10) 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 1214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664640).

1214080 is an abundant number, since it is smaller than the sum of its proper divisors (2115200).

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

1214080 is an equidigital number, since it uses as much as digits as its factorization.

1214080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1214080 is about 1101.8529847489. The cubic root of 1214080 is about 106.6798594793.

The spelling of 1214080 in words is "one million, two hundred fourteen thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 271 280 320 448 542 560 640 896 1084 1120 1355 1897 2168 2240 2710 3794 4336 4480 5420 7588 8672 9485 10840 15176 17344 18970 21680 30352 34688 37940 43360 60704 75880 86720 121408 151760 173440 242816 303520 607040 1214080