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21414645 = 3357173143
BaseRepresentation
bin101000110110…
…0001011110101
31111021222101000
41101230023311
520440232040
62042553513
7350010240
oct121541365
944258330
1021414645
11110a715a
127208899
13458a2b5
142bb6257
151d30130
hex146c2f5

21414645 has 128 divisors (see below), whose sum is σ = 48660480. Its totient is φ = 8709120.

The previous prime is 21414641. The next prime is 21414649. The reversal of 21414645 is 54641412.

21414645 is a `hidden beast` number, since 2 + 1 + 4 + 14 + 645 = 666.

It is an interprime number because it is at equal distance from previous prime (21414641) and next prime (21414649).

It is not a de Polignac number, because 21414645 - 22 = 21414641 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21414641) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 497994 + ... + 498036.

It is an arithmetic number, because the mean of its divisors is an integer number (380160).

Almost surely, 221414645 is an apocalyptic number.

It is an amenable number.

21414645 is an abundant number, since it is smaller than the sum of its proper divisors (27245835).

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

21414645 is a wasteful number, since it uses less digits than its factorization.

21414645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 106 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 21414645 is about 4627.5960281770. The cubic root of 21414645 is about 277.6964277633.

It can be divided in two parts, 2141 and 4645, that added together give a triangular number (6786 = T116).

The spelling of 21414645 in words is "twenty-one million, four hundred fourteen thousand, six hundred forty-five".

Divisors: 1 3 5 7 9 15 17 21 27 31 35 43 45 51 63 85 93 105 119 129 135 153 155 189 215 217 255 279 301 315 357 387 459 465 527 595 645 651 731 765 837 903 945 1071 1085 1161 1333 1395 1505 1581 1785 1935 1953 2193 2295 2635 2709 3213 3255 3655 3689 3999 4185 4515 4743 5117 5355 5805 5859 6579 6665 7905 8127 9331 9765 10965 11067 11997 13545 14229 15351 16065 18445 19737 19995 22661 23715 25585 27993 29295 32895 33201 35991 40635 46053 46655 55335 59985 67983 71145 76755 83979 98685 99603 113305 138159 139965 158627 166005 179955 203949 230265 251937 339915 419895 475881 498015 611847 690795 793135 1019745 1259685 1427643 2379405 3059235 4282929 7138215 21414645