Search a number
-
+
202130040 = 23357240631
BaseRepresentation
bin11000000110001…
…00001001111000
3112002100021021210
430003010021320
5403221130130
632020203120
75003035260
oct1403041170
9462307253
10202130040
11a4108322
12578394a0
1332b51998
141cbb87a0
1512b2a5b0
hexc0c4278

202130040 has 64 divisors (see below), whose sum is σ = 693020160. Its totient is φ = 46200960.

The previous prime is 202130039. The next prime is 202130059. The reversal of 202130040 is 40031202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 202129998 and 202130025.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119476 + ... + 121155.

It is an arithmetic number, because the mean of its divisors is an integer number (10828440).

Almost surely, 2202130040 is an apocalyptic number.

202130040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202130040 is an abundant number, since it is smaller than the sum of its proper divisors (490890120).

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

202130040 is a wasteful number, since it uses less digits than its factorization.

202130040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240652 (or 240648 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 202130040 is about 14217.2444587550. The cubic root of 202130040 is about 586.8723122611.

Adding to 202130040 its reverse (40031202), we get a palindrome (242161242).

The spelling of 202130040 in words is "two hundred two million, one hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 240631 481262 721893 962524 1203155 1443786 1684417 1925048 2406310 2887572 3368834 3609465 4812620 5053251 5775144 6737668 7218930 8422085 9625240 10106502 13475336 14437860 16844170 20213004 25266255 28875720 33688340 40426008 50532510 67376680 101065020 202130040