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21450120 = 2335434157
BaseRepresentation
bin101000111010…
…0110110001000
31111100210000220
41101310312020
520442400440
62043430040
7350215536
oct121646610
944323026
1021450120
111112087a
127225320
1345a04a3
142bc5156
151d3a8d0
hex1474d88

21450120 has 64 divisors (see below), whose sum is σ = 65862720. Its totient is φ = 5585664.

The previous prime is 21450119. The next prime is 21450137. The reversal of 21450120 is 2105412.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21450120.

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 15 ways as a sum of consecutive naturals, for example, 3082 + ... + 7238.

It is an arithmetic number, because the mean of its divisors is an integer number (1029105).

Almost surely, 221450120 is an apocalyptic number.

21450120 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 21450120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32931360).

21450120 is an abundant number, since it is smaller than the sum of its proper divisors (44412600).

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

21450120 is a wasteful number, since it uses less digits than its factorization.

21450120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4214 (or 4210 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 21450120 is about 4631.4274257512. The cubic root of 21450120 is about 277.8496849693.

Adding to 21450120 its reverse (2105412), we get a palindrome (23555532).

The spelling of 21450120 in words is "twenty-one million, four hundred fifty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 4157 5160 8314 12471 16628 20785 24942 33256 41570 49884 62355 83140 99768 124710 166280 178751 249420 357502 498840 536253 715004 893755 1072506 1430008 1787510 2145012 2681265 3575020 4290024 5362530 7150040 10725060 21450120