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20541440 = 21251759
BaseRepresentation
bin100111001011…
…1000000000000
31102122121120002
41032113000000
520224311230
62012135132
7336412403
oct116270000
942577502
1020541440
11106600a7
126a674a8
1343429ca
142a29d3a
151c0b545
hex1397000

20541440 has 104 divisors (see below), whose sum is σ = 53077680. Its totient is φ = 7602176.

The previous prime is 20541431. The next prime is 20541449. The reversal of 20541440 is 4414502.

It is an interprime number because it is at equal distance from previous prime (20541431) and next prime (20541449).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20541449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 348131 + ... + 348189.

Almost surely, 220541440 is an apocalyptic number.

20541440 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 20541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26538840).

20541440 is an abundant number, since it is smaller than the sum of its proper divisors (32536240).

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

20541440 is an equidigital number, since it uses as much as digits as its factorization.

20541440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 20541440 is about 4532.2665411469. The cubic root of 20541440 is about 273.8694744787.

Adding to 20541440 its reverse (4414502), we get a palindrome (24955942).

The spelling of 20541440 in words is "twenty million, five hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 59 64 68 80 85 118 128 136 160 170 236 256 272 295 320 340 472 512 544 590 640 680 944 1003 1024 1088 1180 1280 1360 1888 2006 2048 2176 2360 2560 2720 3776 4012 4096 4352 4720 5015 5120 5440 7552 8024 8704 9440 10030 10240 10880 15104 16048 17408 18880 20060 20480 21760 30208 32096 34816 37760 40120 43520 60416 64192 69632 75520 80240 87040 120832 128384 151040 160480 174080 241664 256768 302080 320960 348160 513536 604160 641920 1027072 1208320 1283840 2054144 2567680 4108288 5135360 10270720 20541440