Search a number
-
+
6213996 = 22362131
BaseRepresentation
bin10111101101000101101100
3102200201000000
4113231011230
53042321441
6341104300
7103550415
oct27550554
912621000
106213996
113564738
1220b8090
131397529
14b7a80c
1582b2b6
hex5ed16c

6213996 has 42 divisors (see below), whose sum is σ = 16311932. Its totient is φ = 2070360.

The previous prime is 6213953. The next prime is 6213997. The reversal of 6213996 is 6993126.

It is a super-2 number, since 2×62139962 = 77227492576032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6213996.

It is not an unprimeable number, because it can be changed into a prime (6213997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1851 + ... + 3981.

Almost surely, 26213996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6213996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8155966).

6213996 is an abundant number, since it is smaller than the sum of its proper divisors (10097936).

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

6213996 is a wasteful number, since it uses less digits than its factorization.

6213996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153 (or 2136 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 6213996 is about 2492.7887997181. The cubic root of 6213996 is about 183.8471872382.

The spelling of 6213996 in words is "six million, two hundred thirteen thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2131 2916 4262 6393 8524 12786 19179 25572 38358 57537 76716 115074 172611 230148 345222 517833 690444 1035666 1553499 2071332 3106998 6213996