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21414540 = 2235767761
BaseRepresentation
bin101000110110…
…0001010001100
31111021222020010
41101230022030
520440231130
62042553220
7350010030
oct121541214
944258203
1021414540
11110a7074
127208810
13458a234
142bb61c0
151d300b0
hex146c28c

21414540 has 96 divisors (see below), whose sum is σ = 69640704. Its totient is φ = 4815360.

The previous prime is 21414529. The next prime is 21414551. The reversal of 21414540 is 4541412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21414529) and next prime (21414551).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 27760 + ... + 28520.

It is an arithmetic number, because the mean of its divisors is an integer number (725424).

Almost surely, 221414540 is an apocalyptic number.

21414540 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 21414540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34820352).

21414540 is an abundant number, since it is smaller than the sum of its proper divisors (48226164).

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

21414540 is a wasteful number, since it uses less digits than its factorization.

21414540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 21414540 is about 4627.5846831798. The cubic root of 21414540 is about 277.6959738968.

Adding to 21414540 its reverse (4541412), we get a palindrome (25955952).

It can be divided in two parts, 214145 and 40, that added together give a triangular number (214185 = T654).

The spelling of 21414540 in words is "twenty-one million, four hundred fourteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 67 70 84 105 134 140 201 210 268 335 402 420 469 670 761 804 938 1005 1340 1407 1522 1876 2010 2283 2345 2814 3044 3805 4020 4566 4690 5327 5628 7035 7610 9132 9380 10654 11415 14070 15220 15981 21308 22830 26635 28140 31962 45660 50987 53270 63924 79905 101974 106540 152961 159810 203948 254935 305922 319620 356909 509870 611844 713818 764805 1019740 1070727 1427636 1529610 1784545 2141454 3059220 3569090 4282908 5353635 7138180 10707270 21414540