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21201040 = 2457172131
BaseRepresentation
bin101000011100…
…0000010010000
31110220010100201
41100320002100
520411413130
62034224544
7345130420
oct120700220
943803321
1021201040
1110a70723
127125154
134513cc3
142b5c480
151cdbbca
hex1438090

21201040 has 120 divisors (see below), whose sum is σ = 60299712. Its totient is φ = 6789120.

The previous prime is 21201031. The next prime is 21201041. The reversal of 21201040 is 4010212.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (21201041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161775 + ... + 161905.

Almost surely, 221201040 is an apocalyptic number.

21201040 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 21201040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30149856).

21201040 is an abundant number, since it is smaller than the sum of its proper divisors (39098672).

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

21201040 is a wasteful number, since it uses less digits than its factorization.

21201040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 21201040 is about 4604.4587086866. The cubic root of 21201040 is about 276.7700263801.

Adding to 21201040 its reverse (4010212), we get a palindrome (25211252).

It can be divided in two parts, 2120 and 1040, that added together give a triangular number (3160 = T79).

The spelling of 21201040 in words is "twenty-one million, two hundred one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 131 136 140 170 238 262 272 280 289 340 476 524 560 578 595 655 680 917 952 1048 1156 1190 1310 1360 1445 1834 1904 2023 2096 2227 2312 2380 2620 2890 3668 4046 4454 4585 4624 4760 5240 5780 7336 8092 8908 9170 9520 10115 10480 11135 11560 14672 15589 16184 17816 18340 20230 22270 23120 31178 32368 35632 36680 37859 40460 44540 62356 73360 75718 77945 80920 89080 124712 151436 155890 161840 178160 189295 249424 265013 302872 311780 378590 530026 605744 623560 757180 1060052 1247120 1325065 1514360 2120104 2650130 3028720 4240208 5300260 10600520 21201040