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21397500 = 223354317
BaseRepresentation
bin101000110011…
…1111111111100
31111021002212000
41101213333330
520434210000
62042342300
7346606245
oct121477774
944232760
1021397500
1111095293
1271ba990
134582557
142badccc
151d2a000
hex1467ffc

21397500 has 120 divisors (see below), whose sum is σ = 69540240. Its totient is φ = 5688000.

The previous prime is 21397489. The next prime is 21397501. The reversal of 21397500 is 579312.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21397501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 67342 + ... + 67658.

It is an arithmetic number, because the mean of its divisors is an integer number (579502).

Almost surely, 221397500 is an apocalyptic number.

21397500 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 21397500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34770120).

21397500 is an abundant number, since it is smaller than the sum of its proper divisors (48142740).

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

21397500 is a wasteful number, since it uses less digits than its factorization.

21397500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 21397500 is about 4625.7431835328. The cubic root of 21397500 is about 277.6222981754.

The spelling of 21397500 in words is "twenty-one million, three hundred ninety-seven thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 125 135 150 180 225 250 270 300 317 375 450 500 540 625 634 675 750 900 951 1125 1250 1268 1350 1500 1585 1875 1902 2250 2500 2700 2853 3170 3375 3750 3804 4500 4755 5625 5706 6340 6750 7500 7925 8559 9510 11250 11412 13500 14265 15850 16875 17118 19020 22500 23775 28530 31700 33750 34236 39625 42795 47550 57060 67500 71325 79250 85590 95100 118875 142650 158500 171180 198125 213975 237750 285300 356625 396250 427950 475500 594375 713250 792500 855900 1069875 1188750 1426500 1783125 2139750 2377500 3566250 4279500 5349375 7132500 10698750 21397500