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21474720 = 253451657
BaseRepresentation
bin101000111101…
…0110110100000
31111102000210000
41101322312200
520444142340
62044140000
7350350341
oct121726640
944360700
1021474720
1111138303
127237600
1345ab747
142bd00c8
151d42d30
hex147ada0

21474720 has 120 divisors (see below), whose sum is σ = 75833604. Its totient is φ = 5723136.

The previous prime is 21474707. The next prime is 21474737. The reversal of 21474720 is 2747412.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 20903184 + 571536 = 4572^2 + 756^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×214747202 = 922327198156800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12132 + ... + 13788.

Almost surely, 221474720 is an apocalyptic number.

21474720 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 21474720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37916802).

21474720 is an abundant number, since it is smaller than the sum of its proper divisors (54358884).

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

21474720 is a wasteful number, since it uses less digits than its factorization.

21474720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1684 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 21474720 is about 4634.0824334489. The cubic root of 21474720 is about 277.9558613912.

The spelling of 21474720 in words is "twenty-one million, four hundred seventy-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 1657 2160 2592 3240 3314 4320 4971 6480 6628 8285 9942 12960 13256 14913 16570 19884 24855 26512 29826 33140 39768 44739 49710 53024 59652 66280 74565 79536 89478 99420 119304 132560 134217 149130 159072 178956 198840 223695 238608 265120 268434 298260 357912 397680 447390 477216 536868 596520 671085 715824 795360 894780 1073736 1193040 1342170 1431648 1789560 2147472 2386080 2684340 3579120 4294944 5368680 7158240 10737360 21474720