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21097500 = 223542997
BaseRepresentation
bin101000001111…
…0110000011100
31110200212022220
41100132300130
520400110000
62032105340
7344216514
oct120366034
943625286
1021097500
11109aa956
127095250
1344a8b38
142b32844
151cbb1a0
hex141ec1c

21097500 has 120 divisors (see below), whose sum is σ = 64291920. Its totient is φ = 5376000.

The previous prime is 21097487. The next prime is 21097513. The reversal of 21097500 is 579012.

It is an interprime number because it is at equal distance from previous prime (21097487) and next prime (21097513).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 217452 + ... + 217548.

It is an arithmetic number, because the mean of its divisors is an integer number (535766).

Almost surely, 221097500 is an apocalyptic number.

21097500 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 21097500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32145960).

21097500 is an abundant number, since it is smaller than the sum of its proper divisors (43194420).

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

21097500 is a wasteful number, since it uses less digits than its factorization.

21097500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 21097500 is about 4593.2014978662. The cubic root of 21097500 is about 276.3187349012.

It can be divided in two parts, 2109 and 7500, that multiplied together give a triangular number (15817500 = T5624).

The spelling of 21097500 in words is "twenty-one million, ninety-seven thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 97 100 116 125 145 150 174 194 250 290 291 300 348 375 388 435 485 500 580 582 625 725 750 870 970 1164 1250 1450 1455 1500 1740 1875 1940 2175 2425 2500 2813 2900 2910 3625 3750 4350 4850 5626 5820 7250 7275 7500 8439 8700 9700 10875 11252 12125 14065 14500 14550 16878 18125 21750 24250 28130 29100 33756 36250 36375 42195 43500 48500 54375 56260 60625 70325 72500 72750 84390 108750 121250 140650 145500 168780 181875 210975 217500 242500 281300 351625 363750 421950 703250 727500 843900 1054875 1406500 1758125 2109750 3516250 4219500 5274375 7032500 10548750 21097500