Search a number
-
+
203144240 = 24513316301
BaseRepresentation
bin11000001101110…
…11110000110000
3112011020210111202
430012323300300
5404001103430
632054030332
75014461155
oct1406736060
9464223452
10203144240
11a4740302
12580483a8
13331184c0
141cda022c
1512c7ad45
hexc1bbc30

203144240 has 80 divisors (see below), whose sum is σ = 525133056. Its totient is φ = 72576000.

The previous prime is 203144239. The next prime is 203144309. The reversal of 203144240 is 42441302.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29090 + ... + 35390.

Almost surely, 2203144240 is an apocalyptic number.

203144240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203144240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262566528).

203144240 is an abundant number, since it is smaller than the sum of its proper divisors (321988816).

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

203144240 is a wasteful number, since it uses less digits than its factorization.

203144240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6358 (or 6352 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 203144240 is about 14252.8677816080. The cubic root of 203144240 is about 587.8522312127.

Adding to 203144240 its reverse (42441302), we get a palindrome (245585542).

The spelling of 203144240 in words is "two hundred three million, one hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 124 130 155 208 248 260 310 403 496 520 620 806 1040 1240 1612 2015 2480 3224 4030 6301 6448 8060 12602 16120 25204 31505 32240 50408 63010 81913 100816 126020 163826 195331 252040 327652 390662 409565 504080 655304 781324 819130 976655 1310608 1562648 1638260 1953310 2539303 3125296 3276520 3906620 5078606 6553040 7813240 10157212 12696515 15626480 20314424 25393030 40628848 50786060 101572120 203144240