Search a number
-
+
163135020 = 223531229383
BaseRepresentation
bin10011011100100…
…11111000101100
3102100222010011210
421232103320230
5313230310040
624104314420
74020424206
oct1156237054
9370863153
10163135020
11840a3834
1246772a10
1327a4a6c9
1417947776
15e4c6480
hex9b93e2c

163135020 has 96 divisors (see below), whose sum is σ = 474808320. Its totient is φ = 41806080.

The previous prime is 163135019. The next prime is 163135031. The reversal of 163135020 is 20531361.

163135020 = T393 + T394 + ... + T1012.

It is a super-2 number, since 2×1631350202 = 53226069500800800, which contains 22 as substring.

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, 425749 + ... + 426131.

It is an arithmetic number, because the mean of its divisors is an integer number (4945920).

Almost surely, 2163135020 is an apocalyptic number.

163135020 is a gapful number since it is divisible by the number (10) 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 163135020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237404160).

163135020 is an abundant number, since it is smaller than the sum of its proper divisors (311673300).

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

163135020 is a wasteful number, since it uses less digits than its factorization.

163135020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 163135020 is about 12772.4320315279. The cubic root of 163135020 is about 546.4063445918.

Adding to 163135020 its reverse (20531361), we get a palindrome (183666381).

The spelling of 163135020 in words is "one hundred sixty-three million, one hundred thirty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 229 310 372 383 458 465 620 687 766 916 930 1145 1149 1374 1532 1860 1915 2290 2298 2748 3435 3830 4580 4596 5745 6870 7099 7660 11490 11873 13740 14198 21297 22980 23746 28396 35495 35619 42594 47492 59365 70990 71238 85188 87707 106485 118730 141980 142476 175414 178095 212970 237460 263121 350828 356190 425940 438535 526242 712380 877070 1052484 1315605 1754140 2631210 2718917 5262420 5437834 8156751 10875668 13594585 16313502 27189170 32627004 40783755 54378340 81567510 163135020