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20952500 = 225417229
BaseRepresentation
bin100111111101…
…1010110110100
31110102111102112
41033323112310
520330440000
62025030152
7343044002
oct117732664
943374375
1020952500
1110910a18
127025358
134457b3a
142ad5a72
151c8d235
hex13fb5b4

20952500 has 90 divisors (see below), whose sum is σ = 50351070. Its totient is φ = 7616000.

The previous prime is 20952479. The next prime is 20952521. The reversal of 20952500 is 525902.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20952479) and next prime (20952521).

It can be written as a sum of positive squares in 15 ways, for example, as 17522596 + 3429904 = 4186^2 + 1852^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 722486 + ... + 722514.

Almost surely, 220952500 is an apocalyptic number.

20952500 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 20952500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25175535).

20952500 is an abundant number, since it is smaller than the sum of its proper divisors (29398570).

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

20952500 is a wasteful number, since it uses less digits than its factorization.

20952500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 20952500 is about 4577.3900860643. The cubic root of 20952500 is about 275.6842464803.

The spelling of 20952500 in words is "twenty million, nine hundred fifty-two thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 29 34 50 58 68 85 100 116 125 145 170 250 289 290 340 425 493 500 578 580 625 725 850 986 1156 1250 1445 1450 1700 1972 2125 2465 2500 2890 2900 3625 4250 4930 5780 7225 7250 8381 8500 9860 10625 12325 14450 14500 16762 18125 21250 24650 28900 33524 36125 36250 41905 42500 49300 61625 72250 72500 83810 123250 144500 167620 180625 209525 246500 308125 361250 419050 616250 722500 838100 1047625 1232500 2095250 4190500 5238125 10476250 20952500