Search a number
-
+
1216992 = 25371811
BaseRepresentation
bin100101001000111100000
32021211101210
410221013200
5302420432
642030120
713226040
oct4510740
92254353
101216992
11761387
124a8340
13337c1a
14239720
151908cc
hex1291e0

1216992 has 48 divisors (see below), whose sum is σ = 3652992. Its totient is φ = 347520.

The previous prime is 1216987. The next prime is 1216997. The reversal of 1216992 is 2996121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1216987) and next prime (1216997).

It is a tau number, because it is divible by the number of its divisors (48).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1216997) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234 + ... + 1577.

It is an arithmetic number, because the mean of its divisors is an integer number (76104).

21216992 is an apocalyptic number.

1216992 is a gapful number since it is divisible by the number (12) 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 1216992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826496).

1216992 is an abundant number, since it is smaller than the sum of its proper divisors (2436000).

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

1216992 is a wasteful number, since it uses less digits than its factorization.

1216992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1831 (or 1823 counting only the distinct ones).

The product of its digits is 1944, while the sum is 30.

The square root of 1216992 is about 1103.1736037451. The cubic root of 1216992 is about 106.7650827795.

The spelling of 1216992 in words is "one million, two hundred sixteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1811 3622 5433 7244 10866 12677 14488 21732 25354 28976 38031 43464 50708 57952 76062 86928 101416 152124 173856 202832 304248 405664 608496 1216992