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21155100 = 22352151467
BaseRepresentation
bin101000010110…
…0110100011100
31110210210100020
41100230310130
520403430400
62033232140
7344546451
oct120546434
943723306
1021155100
1110a3a15a
127102650
1344c9115
142b49828
151ccd2a0
hex142cd1c

21155100 has 72 divisors (see below), whose sum is σ = 61746048. Its totient is φ = 5592000.

The previous prime is 21155087. The next prime is 21155107. The reversal of 21155100 is 155112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21155100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21155107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45067 + ... + 45533.

It is an arithmetic number, because the mean of its divisors is an integer number (857584).

Almost surely, 221155100 is an apocalyptic number.

21155100 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 21155100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30873024).

21155100 is an abundant number, since it is smaller than the sum of its proper divisors (40590948).

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

21155100 is a wasteful number, since it uses less digits than its factorization.

21155100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

The square root of 21155100 is about 4599.4673604669. The cubic root of 21155100 is about 276.5699731454.

The spelling of 21155100 in words is "twenty-one million, one hundred fifty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 151 300 302 453 467 604 755 906 934 1401 1510 1812 1868 2265 2335 2802 3020 3775 4530 4670 5604 7005 7550 9060 9340 11325 11675 14010 15100 22650 23350 28020 35025 45300 46700 70050 70517 140100 141034 211551 282068 352585 423102 705170 846204 1057755 1410340 1762925 2115510 3525850 4231020 5288775 7051700 10577550 21155100