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1201696 = 2517472
BaseRepresentation
bin100100101011000100000
32021001102021
410211120200
5301423241
641431224
713133326
oct4453040
92231367
101201696
11750941
1249b514
13330c82
14233d16
1518b0d1
hex125620

1201696 has 36 divisors (see below), whose sum is σ = 2559438. Its totient is φ = 553472.

The previous prime is 1201691. The next prime is 1201699. The reversal of 1201696 is 6961021.

It can be written as a sum of positive squares in only one way, i.e., 883600 + 318096 = 940^2 + 564^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1201696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25545 + ... + 25591.

21201696 is an apocalyptic number.

1201696 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 1201696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279719).

1201696 is an abundant number, since it is smaller than the sum of its proper divisors (1357742).

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

1201696 is an equidigital number, since it uses as much as digits as its factorization.

1201696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 1201696 is about 1096.2189562309. The cubic root of 1201696 is about 106.3158963774.

The spelling of 1201696 in words is "one million, two hundred one thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 17 32 34 47 68 94 136 188 272 376 544 752 799 1504 1598 2209 3196 4418 6392 8836 12784 17672 25568 35344 37553 70688 75106 150212 300424 600848 1201696