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21405132 = 22327292101
BaseRepresentation
bin101000110100…
…1110111001100
31111021111022200
41101221313030
520434431012
62042441500
7346640430
oct121516714
944244280
1021405132
111109aaa1
127203290
134585b78
142bb29c0
151d2c3dc
hex1469dcc

21405132 has 108 divisors (see below), whose sum is σ = 64676976. Its totient is φ = 5846400.

The previous prime is 21405127. The next prime is 21405149. The reversal of 21405132 is 23150412.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 211882 + ... + 211982.

Almost surely, 221405132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21405132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32338488).

21405132 is an abundant number, since it is smaller than the sum of its proper divisors (43271844).

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

21405132 is a wasteful number, since it uses less digits than its factorization.

21405132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 21405132 is about 4626.5680585073. The cubic root of 21405132 is about 277.6553014315.

Adding to 21405132 its reverse (23150412), we get a palindrome (44555544).

The spelling of 21405132 in words is "twenty-one million, four hundred five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 101 116 126 174 202 203 252 261 303 348 404 406 522 606 609 707 812 841 909 1044 1212 1218 1414 1682 1818 1827 2121 2436 2523 2828 2929 3364 3636 3654 4242 5046 5858 5887 6363 7308 7569 8484 8787 10092 11716 11774 12726 15138 17574 17661 20503 23548 25452 26361 30276 35148 35322 41006 52722 52983 61509 70644 82012 84941 105444 105966 123018 169882 184527 211932 246036 254823 339764 369054 509646 594587 738108 764469 1019292 1189174 1528938 1783761 2378348 3057876 3567522 5351283 7135044 10702566 21405132