Search a number
-
+
215135040 = 2635317229
BaseRepresentation
bin11001101001010…
…11001101000000
3112222210222210110
430310223031000
5420033310130
633203031320
75221421601
oct1464531500
9488728713
10215135040
1110049015a
126006b540
1335756253
1420801da8
1513d48ab0
hexcd2b340

215135040 has 112 divisors (see below), whose sum is σ = 705185280. Its totient is φ = 55511040.

The previous prime is 215134999. The next prime is 215135047. The reversal of 215135040 is 40531512.

It is a junction number, because it is equal to n+sod(n) for n = 215134998 and 215135016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215135047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26146 + ... + 33374.

Almost surely, 2215135040 is an apocalyptic number.

215135040 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 215135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352592640).

215135040 is an abundant number, since it is smaller than the sum of its proper divisors (490050240).

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

215135040 is a wasteful number, since it uses less digits than its factorization.

215135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7280 (or 7270 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 215135040 is about 14667.4824015575. The cubic root of 215135040 is about 599.1980396881.

Adding to 215135040 its reverse (40531512), we get a palindrome (255666552).

The spelling of 215135040 in words is "two hundred fifteen million, one hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 155 160 186 192 240 248 310 320 372 465 480 496 620 744 930 960 992 1240 1488 1860 1984 2480 2976 3720 4960 5952 7229 7440 9920 14458 14880 21687 28916 29760 36145 43374 57832 72290 86748 108435 115664 144580 173496 216870 224099 231328 289160 346992 433740 448198 462656 578320 672297 693984 867480 896396 1120495 1156640 1344594 1387968 1734960 1792792 2240990 2313280 2689188 3361485 3469920 3585584 4481980 5378376 6722970 6939840 7171168 8963960 10756752 13445940 14342336 17927920 21513504 26891880 35855840 43027008 53783760 71711680 107567520 215135040