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21160320 = 2735103107
BaseRepresentation
bin101000010111…
…0000110000000
31110211001111120
41100232012000
520404112240
62033312240
7344600616
oct120560600
943731446
1021160320
1110a43075
127105680
1344cb5cc
142b4b6b6
151ccead0
hex142e180

21160320 has 128 divisors (see below), whose sum is σ = 68739840. Its totient is φ = 5535744.

The previous prime is 21160313. The next prime is 21160331. The reversal of 21160320 is 2306112.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21160320.

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, 197707 + ... + 197813.

It is an arithmetic number, because the mean of its divisors is an integer number (537030).

Almost surely, 221160320 is an apocalyptic number.

21160320 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 21160320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34369920).

21160320 is an abundant number, since it is smaller than the sum of its proper divisors (47579520).

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

21160320 is a wasteful number, since it uses less digits than its factorization.

21160320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 21160320 is about 4600.0347824772. The cubic root of 21160320 is about 276.5927190638.

Adding to 21160320 its reverse (2306112), we get a palindrome (23466432).

The spelling of 21160320 in words is "twenty-one million, one hundred sixty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 103 107 120 128 160 192 206 214 240 309 320 321 384 412 428 480 515 535 618 640 642 824 856 960 1030 1070 1236 1284 1545 1605 1648 1712 1920 2060 2140 2472 2568 3090 3210 3296 3424 4120 4280 4944 5136 6180 6420 6592 6848 8240 8560 9888 10272 11021 12360 12840 13184 13696 16480 17120 19776 20544 22042 24720 25680 32960 33063 34240 39552 41088 44084 49440 51360 55105 65920 66126 68480 88168 98880 102720 110210 132252 165315 176336 197760 205440 220420 264504 330630 352672 440840 529008 661260 705344 881680 1058016 1322520 1410688 1763360 2116032 2645040 3526720 4232064 5290080 7053440 10580160 21160320