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21393120 = 253576367
BaseRepresentation
bin101000110011…
…0111011100000
31111020212211210
41101212323200
520434034440
62042310120
7346560420
oct121467340
944225753
1021393120
1111091a71
1271b8340
134580568
142bac480
151d28a80
hex1466ee0

21393120 has 96 divisors (see below), whose sum is σ = 77027328. Its totient is φ = 4889088.

The previous prime is 21393101. The next prime is 21393133. The reversal of 21393120 is 2139312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177 + ... + 6543.

It is an arithmetic number, because the mean of its divisors is an integer number (802368).

Almost surely, 221393120 is an apocalyptic number.

21393120 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 21393120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38513664).

21393120 is an abundant number, since it is smaller than the sum of its proper divisors (55634208).

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

21393120 is a wasteful number, since it uses less digits than its factorization.

21393120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6392 (or 6384 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 21393120 is about 4625.2697218649. The cubic root of 21393120 is about 277.6033540831.

The spelling of 21393120 in words is "twenty-one million, three hundred ninety-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 6367 12734 19101 25468 31835 38202 44569 50936 63670 76404 89138 95505 101872 127340 133707 152808 178276 191010 203744 222845 254680 267414 305616 356552 382020 445690 509360 534828 611232 668535 713104 764040 891380 1018720 1069656 1337070 1426208 1528080 1782760 2139312 2674140 3056160 3565520 4278624 5348280 7131040 10696560 21393120