Search a number
-
+
1214976 = 2937113
BaseRepresentation
bin100101000101000000000
32021201122010
410220220000
5302334401
642012520
713220130
oct4505000
92251563
101214976
1175a914
124a7140
13337029
14238ac0
1518eed6
hex128a00

1214976 has 80 divisors (see below), whose sum is σ = 3731904. Its totient is φ = 344064.

The previous prime is 1214971. The next prime is 1214977. The reversal of 1214976 is 6794121.

It is a happy number.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1214971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10696 + ... + 10808.

21214976 is an apocalyptic number.

1214976 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 1214976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865952).

1214976 is an abundant number, since it is smaller than the sum of its proper divisors (2516928).

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

1214976 is an equidigital number, since it uses as much as digits as its factorization.

1214976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 125 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 1214976 is about 1102.2594975776. The cubic root of 1214976 is about 106.7060965339.

The spelling of 1214976 in words is "one million, two hundred fourteen thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 113 128 168 192 224 226 256 336 339 384 448 452 512 672 678 768 791 896 904 1344 1356 1536 1582 1792 1808 2373 2688 2712 3164 3584 3616 4746 5376 5424 6328 7232 9492 10752 10848 12656 14464 18984 21696 25312 28928 37968 43392 50624 57856 75936 86784 101248 151872 173568 202496 303744 404992 607488 1214976