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21100240 = 245741919
BaseRepresentation
bin101000001111…
…1011011010000
31110201000002101
41100133123100
520400201430
62032130144
7344230510
oct120373320
943630071
1021100240
1110a01a17
127096954
1344aa165
142b33840
151cbbdca
hex141f6d0

21100240 has 80 divisors (see below), whose sum is σ = 57496320. Its totient is φ = 7050240.

The previous prime is 21100231. The next prime is 21100253. The reversal of 21100240 is 4200112.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22501 + ... + 23419.

It is an arithmetic number, because the mean of its divisors is an integer number (718704).

Almost surely, 221100240 is an apocalyptic number.

21100240 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 21100240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28748160).

21100240 is an abundant number, since it is smaller than the sum of its proper divisors (36396080).

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

21100240 is a wasteful number, since it uses less digits than its factorization.

21100240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 974 counting only the distinct ones).

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

The square root of 21100240 is about 4593.4997550887. The cubic root of 21100240 is about 276.3306965168.

Adding to 21100240 its reverse (4200112), we get a palindrome (25300352).

The spelling of 21100240 in words is "twenty-one million, one hundred thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 56 70 80 82 112 140 164 205 280 287 328 410 560 574 656 820 919 1148 1435 1640 1838 2296 2870 3280 3676 4592 4595 5740 6433 7352 9190 11480 12866 14704 18380 22960 25732 32165 36760 37679 51464 64330 73520 75358 102928 128660 150716 188395 257320 263753 301432 376790 514640 527506 602864 753580 1055012 1318765 1507160 2110024 2637530 3014320 4220048 5275060 10550120 21100240