Search a number
-
+
106496 = 21313
BaseRepresentation
bin11010000000000000
312102002022
4122000000
511401441
62141012
7622325
oct320000
9172068
10106496
1173015
1251768
1339620
142ab4c
152184b
hex1a000

106496 has 28 divisors (see below), whose sum is σ = 229362. Its totient is φ = 49152.

The previous prime is 106487. The next prime is 106501. The reversal of 106496 is 694601.

Multipling 106496 by its sum of digits (26), we get a square (2768896 = 16642).

106496 divided by its sum of digits (26) gives a 12-th power (4096 = 212).

It can be written as a sum of positive squares in only one way, i.e., 102400 + 4096 = 320^2 + 64^2 .

It is an ABA number since it can be written as A⋅BA, here for A=13, B=2.

It is a super-2 number, since 2×1064962 = 22682796032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an Ulam number.

It is a nialpdrome in base 8.

It is an unprimeable number.

106496 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8186 + ... + 8198.

2106496 is an apocalyptic number.

106496 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 106496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114681).

106496 is an abundant number, since it is smaller than the sum of its proper divisors (122866).

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

106496 is an frugal number, since it uses more digits than its factorization.

106496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 15 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 106496 is about 326.3372488699. The cubic root of 106496 is about 47.3999370945.

The spelling of 106496 in words is "one hundred six thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 2048 3328 4096 6656 8192 13312 26624 53248 106496