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21429072 = 2432723037
BaseRepresentation
bin101000110111…
…1101101010000
31111022201011100
41101233231100
520441212242
62043144400
7350100300
oct121575520
944281140
1021429072
1111106a85
127215100
134593a32
142bbb600
151d3454c
hex146fb50

21429072 has 90 divisors (see below), whose sum is σ = 69785898. Its totient is φ = 6120576.

The previous prime is 21429049. The next prime is 21429097. The reversal of 21429072 is 27092412.

It can be written as a sum of positive squares in only one way, i.e., 20575296 + 853776 = 4536^2 + 924^2 .

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 5538 + ... + 8574.

Almost surely, 221429072 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 21429072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34892949).

21429072 is an abundant number, since it is smaller than the sum of its proper divisors (48356826).

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

21429072 is a wasteful number, since it uses less digits than its factorization.

21429072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3065 (or 3049 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 21429072 is about 4629.1545664408. The cubic root of 21429072 is about 277.7587749252.

The spelling of 21429072 in words is "twenty-one million, four hundred twenty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3037 3528 6074 7056 9111 12148 18222 21259 24296 27333 36444 42518 48592 54666 63777 72888 85036 109332 127554 145776 148813 170072 191331 218664 255108 297626 340144 382662 437328 446439 510216 595252 765324 892878 1020432 1190504 1339317 1530648 1785756 2381008 2678634 3061296 3571512 5357268 7143024 10714536 21429072