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120496 = 2417443
BaseRepresentation
bin11101011010110000
320010021211
4131122300
512323441
62325504
71011205
oct353260
9203254
10120496
1182592
1259894
1342acc
1431cac
1525a81
hex1d6b0

120496 has 20 divisors (see below), whose sum is σ = 247752. Its totient is φ = 56576.

The previous prime is 120473. The next prime is 120503. The reversal of 120496 is 694021.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51 + ... + 493.

2120496 is an apocalyptic number.

120496 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 120496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123876).

120496 is an abundant number, since it is smaller than the sum of its proper divisors (127256).

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

120496 is a wasteful number, since it uses less digits than its factorization.

120496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 120496 is about 347.1253375944. The cubic root of 120496 is about 49.3921059140.

It can be divided in two parts, 120 and 496, that added together give a palindrome (616).

The spelling of 120496 in words is "one hundred twenty thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 443 886 1772 3544 7088 7531 15062 30124 60248 120496