Search a number
-
+
1220496 = 24347541
BaseRepresentation
bin100101001111110010000
32022000012120
410221332100
5303023441
642054240
713242204
oct4517620
92260176
101220496
11763a82
124aa380
133396b4
1423ab04
15191966
hex129f90

1220496 has 40 divisors (see below), whose sum is σ = 3225984. Its totient is φ = 397440.

The previous prime is 1220491. The next prime is 1220497. The reversal of 1220496 is 6940221.

It is a super-2 number, since 2×12204962 = 2979220972032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1220491) 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, 1986 + ... + 2526.

21220496 is an apocalyptic number.

1220496 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 1220496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612992).

1220496 is an abundant number, since it is smaller than the sum of its proper divisors (2005488).

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

1220496 is a wasteful number, since it uses less digits than its factorization.

1220496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1220496 is about 1104.7606075526. The cubic root of 1220496 is about 106.8674516744.

The spelling of 1220496 in words is "one million, two hundred twenty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 541 564 752 1082 1128 1623 2164 2256 3246 4328 6492 8656 12984 25427 25968 50854 76281 101708 152562 203416 305124 406832 610248 1220496