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21033120 = 2535291511
BaseRepresentation
bin101000000111…
…1000010100000
31110120121000110
41100033002200
520341024440
62030451320
7343531023
oct120170240
943517013
1021033120
1110966549
127063b40
134485744
142b171ba
151ca7080
hex140f0a0

21033120 has 96 divisors (see below), whose sum is σ = 68584320. Its totient is φ = 5411840.

The previous prime is 21033119. The next prime is 21033121. The reversal of 21033120 is 2133012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21033119) and next prime (21033121).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 21033096 and 21033105.

It is not an unprimeable number, because it can be changed into a prime (21033121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13165 + ... + 14675.

It is an arithmetic number, because the mean of its divisors is an integer number (714420).

Almost surely, 221033120 is an apocalyptic number.

21033120 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 21033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34292160).

21033120 is an abundant number, since it is smaller than the sum of its proper divisors (47551200).

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

21033120 is a wasteful number, since it uses less digits than its factorization.

21033120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 21033120 is about 4586.1879595150. The cubic root of 21033120 is about 276.0373820402.

Adding to 21033120 its reverse (2133012), we get a palindrome (23166132).

The spelling of 21033120 in words is "twenty-one million, thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 80 87 96 116 120 145 160 174 232 240 290 348 435 464 480 580 696 870 928 1160 1392 1511 1740 2320 2784 3022 3480 4533 4640 6044 6960 7555 9066 12088 13920 15110 18132 22665 24176 30220 36264 43819 45330 48352 60440 72528 87638 90660 120880 131457 145056 175276 181320 219095 241760 262914 350552 362640 438190 525828 657285 701104 725280 876380 1051656 1314570 1402208 1752760 2103312 2629140 3505520 4206624 5258280 7011040 10516560 21033120