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201012480 = 2832517449
BaseRepresentation
bin10111111101100…
…11010100000000
3112000020111021200
423332303110000
5402424344410
631540221200
74660402134
oct1376632400
9460214250
10201012480
11a3514719
125739a800
13328500c6
141c9a73c4
15129a93c0
hexbfb3500

201012480 has 108 divisors (see below), whose sum is σ = 695522100. Its totient is φ = 53600256.

The previous prime is 201012443. The next prime is 201012481. The reversal of 201012480 is 84210102.

201012480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 154554624 + 46457856 = 12432^2 + 6816^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201012481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2796 + ... + 20244.

Almost surely, 2201012480 is an apocalyptic number.

201012480 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 201012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347761050).

201012480 is an abundant number, since it is smaller than the sum of its proper divisors (494509620).

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

201012480 is a wasteful number, since it uses less digits than its factorization.

201012480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17476 (or 17459 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 201012480 is about 14177.8870075904. The cubic root of 201012480 is about 585.7887235498.

Adding to 201012480 its reverse (84210102), we get a palindrome (285222582).

The spelling of 201012480 in words is "two hundred one million, twelve thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 17449 34898 52347 69796 87245 104694 139592 157041 174490 209388 261735 279184 314082 348980 418776 523470 558368 628164 697960 785205 837552 1046940 1116736 1256328 1395920 1570410 1675104 2093880 2233472 2512656 2791840 3140820 3350208 4187760 4466944 5025312 5583680 6281640 6700416 8375520 10050624 11167360 12563280 13400832 16751040 20101248 22334720 25126560 33502080 40202496 50253120 67004160 100506240 201012480