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21235040 = 2551737211
BaseRepresentation
bin101000100000…
…0010101100000
31110221211222222
41101000111200
520414010130
62035050212
7345331511
oct121002540
943854888
1021235040
1110a94222
127140968
134526618
142b6aa08
151ce6ce5
hex1440560

21235040 has 96 divisors (see below), whose sum is σ = 54813024. Its totient is φ = 7741440.

The previous prime is 21235037. The next prime is 21235051. The reversal of 21235040 is 4053212.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 100535 + ... + 100745.

It is an arithmetic number, because the mean of its divisors is an integer number (570969).

Almost surely, 221235040 is an apocalyptic number.

21235040 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 21235040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27406512).

21235040 is an abundant number, since it is smaller than the sum of its proper divisors (33577984).

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

21235040 is a wasteful number, since it uses less digits than its factorization.

21235040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 21235040 is about 4608.1493031368. The cubic root of 21235040 is about 276.9178989219.

Adding to 21235040 its reverse (4053212), we get a palindrome (25288252).

The spelling of 21235040 in words is "twenty-one million, two hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 37 40 68 74 80 85 136 148 160 170 185 211 272 296 340 370 422 544 592 629 680 740 844 1055 1184 1258 1360 1480 1688 2110 2516 2720 2960 3145 3376 3587 4220 5032 5920 6290 6752 7174 7807 8440 10064 12580 14348 15614 16880 17935 20128 25160 28696 31228 33760 35870 39035 50320 57392 62456 71740 78070 100640 114784 124912 132719 143480 156140 249824 265438 286960 312280 530876 573920 624560 663595 1061752 1249120 1327190 2123504 2654380 4247008 5308760 10617520 21235040