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201014072 = 237219137197
BaseRepresentation
bin10111111101100…
…11101100111000
3112000020120110122
423332303230320
5402424422242
631540232412
74660406600
oct1376635470
9460216418
10201014072
11a3515936
125739b708
1332850a4c
141c9a7c00
15129a9ad2
hexbfb3b38

201014072 has 96 divisors (see below), whose sum is σ = 467240400. Its totient is φ = 80607744.

The previous prime is 201014071. The next prime is 201014087. The reversal of 201014072 is 270410102.

It is a self number, because there is not a number n which added to its sum of digits gives 201014072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201014071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1020278 + ... + 1020474.

Almost surely, 2201014072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201014072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233620200).

201014072 is an abundant number, since it is smaller than the sum of its proper divisors (266226328).

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

201014072 is a wasteful number, since it uses less digits than its factorization.

201014072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 201014072 is about 14177.9431512473. The cubic root of 201014072 is about 585.7902700096.

Adding to 201014072 its reverse (270410102), we get a palindrome (471424174).

The spelling of 201014072 in words is "two hundred one million, fourteen thousand, seventy-two".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 137 152 196 197 266 274 392 394 532 548 788 931 959 1064 1096 1379 1576 1862 1918 2603 2758 3724 3743 3836 5206 5516 6713 7448 7486 7672 9653 10412 11032 13426 14972 18221 19306 20824 26201 26852 26989 29944 36442 38612 52402 53704 53978 72884 77224 104804 107956 127547 145768 183407 188923 209608 215912 255094 366814 377846 510188 512791 733628 755692 1020376 1025582 1322461 1467256 1511384 2051164 2644922 3589537 4102328 5289844 7179074 10579688 14358148 25126759 28716296 50253518 100507036 201014072