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20136672 = 2532292411
BaseRepresentation
bin100110011010…
…0001011100000
31101220001022200
41030310023200
520123333142
61555333200
7333105333
oct114641340
941801280
1020136672
1110403a86
1268b1200
1342306ba
14296261a
151b7b64c
hex13342e0

20136672 has 72 divisors (see below), whose sum is σ = 59262840. Its totient is φ = 6478080.

The previous prime is 20136659. The next prime is 20136679. The reversal of 20136672 is 27663102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20136679) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7147 + ... + 9557.

It is an arithmetic number, because the mean of its divisors is an integer number (823095).

Almost surely, 220136672 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 20136672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29631420).

20136672 is an abundant number, since it is smaller than the sum of its proper divisors (39126168).

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

20136672 is a wasteful number, since it uses less digits than its factorization.

20136672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2456 (or 2445 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 20136672 is about 4487.3903329218. The cubic root of 20136672 is about 272.0586666996.

Adding to 20136672 its reverse (27663102), we get a palindrome (47799774).

The spelling of 20136672 in words is "twenty million, one hundred thirty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2411 2784 4176 4822 7233 8352 9644 14466 19288 21699 28932 38576 43398 57864 69919 77152 86796 115728 139838 173592 209757 231456 279676 347184 419514 559352 629271 694368 839028 1118704 1258542 1678056 2237408 2517084 3356112 5034168 6712224 10068336 20136672