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21151680 = 2635112003
BaseRepresentation
bin101000010101…
…1111111000000
31110210121122120
41100223333000
520403323210
62033204240
7344533464
oct120537700
943717576
1021151680
1110a37630
127100680
1344c76b4
142b484a4
151ccc270
hex142bfc0

21151680 has 112 divisors (see below), whose sum is σ = 73298304. Its totient is φ = 5125120.

The previous prime is 21151673. The next prime is 21151687. The reversal of 21151680 is 8615112.

It is an interprime number because it is at equal distance from previous prime (21151673) and next prime (21151687).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 21151680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21151687) 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, 9559 + ... + 11561.

Almost surely, 221151680 is an apocalyptic number.

21151680 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 21151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36649152).

21151680 is an abundant number, since it is smaller than the sum of its proper divisors (52146624).

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

21151680 is a wasteful number, since it uses less digits than its factorization.

21151680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 21151680 is about 4599.0955632602. The cubic root of 21151680 is about 276.5550686183. Note that the first 3 decimals are identical.

Adding to 21151680 its reverse (8615112), we get a palindrome (29766792).

The spelling of 21151680 in words is "twenty-one million, one hundred fifty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2003 2112 2640 3520 4006 5280 6009 8012 10015 10560 12018 16024 20030 22033 24036 30045 32048 40060 44066 48072 60090 64096 66099 80120 88132 96144 110165 120180 128192 132198 160240 176264 192288 220330 240360 264396 320480 330495 352528 384576 440660 480720 528792 640960 660990 705056 881320 961440 1057584 1321980 1410112 1762640 1922880 2115168 2643960 3525280 4230336 5287920 7050560 10575840 21151680