Search a number
-
+
20072136 = 2337157761
BaseRepresentation
bin100110010010…
…0011011001000
31101202202210110
41030210123020
520114302021
61554114320
7332416230
oct114443310
941682713
1020072136
111036a547
12687b9a0
13420a206
142946cc0
151b67476
hex13246c8

20072136 has 64 divisors (see below), whose sum is σ = 57790080. Its totient is φ = 5690880.

The previous prime is 20072131. The next prime is 20072141. The reversal of 20072136 is 63127002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20072131) and next prime (20072141).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (20072131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25996 + ... + 26756.

It is an arithmetic number, because the mean of its divisors is an integer number (902970).

Almost surely, 220072136 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 20072136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28895040).

20072136 is an abundant number, since it is smaller than the sum of its proper divisors (37717944).

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

20072136 is a wasteful number, since it uses less digits than its factorization.

20072136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 20072136 is about 4480.1937458106. The cubic root of 20072136 is about 271.7677154716.

Adding to 20072136 its reverse (63127002), we get a palindrome (83199138).

The spelling of 20072136 in words is "twenty million, seventy-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 157 168 314 471 628 761 942 1099 1256 1522 1884 2198 2283 3044 3297 3768 4396 4566 5327 6088 6594 8792 9132 10654 13188 15981 18264 21308 26376 31962 42616 63924 119477 127848 238954 358431 477908 716862 836339 955816 1433724 1672678 2509017 2867448 3345356 5018034 6690712 10036068 20072136