Search a number
-
+
202531340 = 2251137139179
BaseRepresentation
bin11000001001001…
…10001000001100
3112010002122202202
430010212020030
5403322000330
632032541032
75006326244
oct1404461014
9463078682
10202531340
11a4361880
12579b1778
1332c6253b
141cc80b24
1512ba9445
hexc12620c

202531340 has 96 divisors (see below), whose sum is σ = 482630400. Its totient is φ = 70744320.

The previous prime is 202531297. The next prime is 202531363. The reversal of 202531340 is 43135202.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1131371 + ... + 1131549.

It is an arithmetic number, because the mean of its divisors is an integer number (5027400).

Almost surely, 2202531340 is an apocalyptic number.

202531340 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 202531340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241315200).

202531340 is an abundant number, since it is smaller than the sum of its proper divisors (280099060).

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

202531340 is a wasteful number, since it uses less digits than its factorization.

202531340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 202531340 is about 14231.3506035091. The cubic root of 202531340 is about 587.2604389217.

Adding to 202531340 its reverse (43135202), we get a palindrome (245666542).

The spelling of 202531340 in words is "two hundred two million, five hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 139 148 179 185 220 278 358 370 407 556 695 716 740 814 895 1390 1529 1628 1790 1969 2035 2780 3058 3580 3938 4070 5143 6116 6623 7645 7876 8140 9845 10286 13246 15290 19690 20572 24881 25715 26492 30580 33115 39380 49762 51430 56573 66230 72853 99524 102860 113146 124405 132460 145706 226292 248810 273691 282865 291412 364265 497620 547382 565730 728530 920597 1094764 1131460 1368455 1457060 1841194 2736910 3682388 4602985 5473820 9205970 10126567 18411940 20253134 40506268 50632835 101265670 202531340