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21429120 = 273511161
BaseRepresentation
bin101000110111…
…1101110000000
31111022201020010
41101233232000
520441212440
62043144520
7350100366
oct121575600
944281203
1021429120
1111107019
127215140
134593a6b
142bbb636
151d34580
hex146fb80

21429120 has 64 divisors (see below), whose sum is σ = 68311440. Its totient is φ = 5713920.

The previous prime is 21429113. The next prime is 21429127. The reversal of 21429120 is 2192412.

It is an interprime number because it is at equal distance from previous prime (21429113) and next prime (21429127).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21429127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3661 + ... + 7500.

Almost surely, 221429120 is an apocalyptic number.

21429120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21429120 is an abundant number, since it is smaller than the sum of its proper divisors (46882320).

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

21429120 is a wasteful number, since it uses less digits than its factorization.

21429120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11183 (or 11171 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 21429120 is about 4629.1597509699. The cubic root of 21429120 is about 277.7589823134.

The spelling of 21429120 in words is "twenty-one million, four hundred twenty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 11161 22322 33483 44644 55805 66966 89288 111610 133932 167415 178576 223220 267864 334830 357152 446440 535728 669660 714304 892880 1071456 1339320 1428608 1785760 2142912 2678640 3571520 4285824 5357280 7143040 10714560 21429120