Search a number
-
+
20003688 = 2332277829
BaseRepresentation
bin100110001001…
…1101101101000
31101122021220100
41030103231220
520110104223
61552425400
7332012535
oct114235550
941567810
1020003688
1110323081
126848260
1341b5003
142929d8c
151b52043
hex1313b68

20003688 has 24 divisors (see below), whose sum is σ = 54176850. Its totient is φ = 6667872.

The previous prime is 20003681. The next prime is 20003693. The reversal of 20003688 is 88630002.

It can be written as a sum of positive squares in only one way, i.e., 10381284 + 9622404 = 3222^2 + 3102^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (20003681) 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, 138843 + ... + 138986.

Almost surely, 220003688 is an apocalyptic number.

It is an amenable number.

20003688 is an abundant number, since it is smaller than the sum of its proper divisors (34173162).

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

20003688 is a wasteful number, since it uses less digits than its factorization.

20003688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277841 (or 277834 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 20003688 is about 4472.5482669279. The cubic root of 20003688 is about 271.4584452543.

It can be divided in two parts, 2000368 and 8, that added together give a cube (2000376 = 1263).

The spelling of 20003688 in words is "twenty million, three thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 277829 555658 833487 1111316 1666974 2222632 2500461 3333948 5000922 6667896 10001844 20003688