Search a number
-
+
201688140 = 22353361469
BaseRepresentation
bin11000000010110…
…00010001001100
3112001111211010010
430001120101030
5403113010030
632002513220
74666215033
oct1401302114
9461454103
10201688140
11a3936315
1257665810
1332a287c4
141cb0171a
1512a8e6b0
hexc05844c

201688140 has 24 divisors (see below), whose sum is σ = 564726960. Its totient is φ = 53783488.

The previous prime is 201688129. The next prime is 201688141. The reversal of 201688140 is 41886102.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 201688098 and 201688107.

It is not an unprimeable number, because it can be changed into a prime (201688141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1680675 + ... + 1680794.

It is an arithmetic number, because the mean of its divisors is an integer number (23530290).

Almost surely, 2201688140 is an apocalyptic number.

201688140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201688140 is an abundant number, since it is smaller than the sum of its proper divisors (363038820).

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

201688140 is a wasteful number, since it uses less digits than its factorization.

201688140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3361481 (or 3361479 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 201688140 is about 14201.6949692634. The cubic root of 201688140 is about 586.4443236010. Note that the first 3 decimals are identical.

The spelling of 201688140 in words is "two hundred one million, six hundred eighty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 3361469 6722938 10084407 13445876 16807345 20168814 33614690 40337628 50422035 67229380 100844070 201688140