Search a number
-
+
20146176 = 211321093
BaseRepresentation
bin100110011011…
…0100000000000
31101220112100200
41030312200000
520124134201
61555445200
7333145131
oct114664000
941815320
1020146176
1110410136
1268b6800
134234b1b
142965c88
151b7e386
hex1336800

20146176 has 72 divisors (see below), whose sum is σ = 58239090. Its totient is φ = 6709248.

The previous prime is 20146171. The next prime is 20146177. The reversal of 20146176 is 67164102.

It can be written as a sum of positive squares in only one way, i.e., 11289600 + 8856576 = 3360^2 + 2976^2 .

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

It is not an unprimeable number, because it can be changed into a prime (20146171) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17886 + ... + 18978.

Almost surely, 220146176 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 20146176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29119545).

20146176 is an abundant number, since it is smaller than the sum of its proper divisors (38092914).

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

20146176 is a wasteful number, since it uses less digits than its factorization.

20146176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 20146176 is about 4488.4491753834. The cubic root of 20146176 is about 272.1014615713.

The spelling of 20146176 in words is "twenty million, one hundred forty-six thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1093 1152 1536 2048 2186 2304 3072 3279 4372 4608 6144 6558 8744 9216 9837 13116 17488 18432 19674 26232 34976 39348 52464 69952 78696 104928 139904 157392 209856 279808 314784 419712 559616 629568 839424 1119232 1259136 1678848 2238464 2518272 3357696 5036544 6715392 10073088 20146176