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21301000 = 2353717179
BaseRepresentation
bin101000101000…
…0011100001000
31111002012110221
41101100130020
520423113000
62040315424
7346025020
oct121203410
944065427
1021301000
1111029836
127172b74
13454a656
142b86a80
151d0b61a
hex1450708

21301000 has 128 divisors (see below), whose sum is σ = 60652800. Its totient is φ = 6835200.

The previous prime is 21300997. The next prime is 21301031. The reversal of 21301000 is 10312.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118911 + ... + 119089.

It is an arithmetic number, because the mean of its divisors is an integer number (473850).

Almost surely, 221301000 is an apocalyptic number.

21301000 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 21301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30326400).

21301000 is an abundant number, since it is smaller than the sum of its proper divisors (39351800).

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

21301000 is a wasteful number, since it uses less digits than its factorization.

21301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 21301000 is about 4615.3006402617. The cubic root of 21301000 is about 277.2043221349.

Adding to 21301000 its reverse (10312), we get a palindrome (21311312).

The spelling of 21301000 in words is "twenty-one million, three hundred one thousand".

Divisors: 1 2 4 5 7 8 10 14 17 20 25 28 34 35 40 50 56 68 70 85 100 119 125 136 140 170 175 179 200 238 250 280 340 350 358 425 476 500 595 680 700 716 850 875 895 952 1000 1190 1253 1400 1432 1700 1750 1790 2125 2380 2506 2975 3043 3400 3500 3580 4250 4475 4760 5012 5950 6086 6265 7000 7160 8500 8950 10024 11900 12172 12530 14875 15215 17000 17900 21301 22375 23800 24344 25060 29750 30430 31325 35800 42602 44750 50120 59500 60860 62650 76075 85204 89500 106505 119000 121720 125300 152150 156625 170408 179000 213010 250600 304300 313250 380375 426020 532525 608600 626500 760750 852040 1065050 1253000 1521500 2130100 2662625 3043000 4260200 5325250 10650500 21301000