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62196 = 2237173
BaseRepresentation
bin1111001011110100
310011022120
433023310
53442241
61155540
7346221
oct171364
9104276
1062196
1142802
122bbb0
1322404
1418948
1513666
hexf2f4

62196 has 24 divisors (see below), whose sum is σ = 149184. Its totient is φ = 20160.

The previous prime is 62191. The next prime is 62201. The reversal of 62196 is 69126.

62196 = T1 + T2 + ... + T71.

62196 is a nontrivial binomial coefficient, being equal to C(73, 3).

It is an interprime number because it is at equal distance from previous prime (62191) and next prime (62201).

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 62196.

It is not an unprimeable number, because it can be changed into a prime (62191) by changing a digit.

62196 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is the 71-st tetrahedral number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 816 + ... + 888.

It is an arithmetic number, because the mean of its divisors is an integer number (6216).

262196 is an apocalyptic number.

It is an amenable number.

62196 is an abundant number, since it is smaller than the sum of its proper divisors (86988).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74592).

62196 is a wasteful number, since it uses less digits than its factorization.

62196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 149 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

The square root of 62196 is about 249.3912588685. The cubic root of 62196 is about 39.6205790395.

It can be divided in two parts, 621 and 96, that added together give a palindrome (717).

The spelling of 62196 in words is "sixty-two thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 12 71 73 142 146 213 219 284 292 426 438 852 876 5183 10366 15549 20732 31098 62196