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21110320 = 24571123149
BaseRepresentation
bin101000010000…
…1111000110000
31110201111220201
41100201320300
520401012240
62032244544
7344302060
oct120417060
943644821
1021110320
1110a09550
1270a0754
1344b191a
142b373a0
151cbed9a
hex1421e30

21110320 has 160 divisors (see below), whose sum is σ = 64281600. Its totient is φ = 6251520.

The previous prime is 21110263. The next prime is 21110363. The reversal of 21110320 is 2301112.

It is a super-2 number, since 2×211103202 = 891291221004800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 21110297 and 21110306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141606 + ... + 141754.

It is an arithmetic number, because the mean of its divisors is an integer number (401760).

Almost surely, 221110320 is an apocalyptic number.

21110320 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 21110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32140800).

21110320 is an abundant number, since it is smaller than the sum of its proper divisors (43171280).

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

21110320 is a wasteful number, since it uses less digits than its factorization.

21110320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 21110320 is about 4594.5968267085. The cubic root of 21110320 is about 276.3746923828.

Adding to 21110320 its reverse (2301112), we get a palindrome (23411432).

The spelling of 21110320 in words is "twenty-one million, one hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 23 28 35 40 44 46 55 56 70 77 80 88 92 110 112 115 140 149 154 161 176 184 220 230 253 280 298 308 322 368 385 440 460 506 560 596 616 644 745 770 805 880 920 1012 1043 1192 1232 1265 1288 1490 1540 1610 1639 1771 1840 2024 2086 2384 2530 2576 2980 3080 3220 3278 3427 3542 4048 4172 5060 5215 5960 6160 6440 6556 6854 7084 8195 8344 8855 10120 10430 11473 11920 12880 13112 13708 14168 16390 16688 17135 17710 20240 20860 22946 23989 26224 27416 28336 32780 34270 35420 37697 41720 45892 47978 54832 57365 65560 68540 70840 75394 83440 91784 95956 114730 119945 131120 137080 141680 150788 183568 188485 191912 229460 239890 263879 274160 301576 376970 383824 458920 479780 527758 603152 753940 917840 959560 1055516 1319395 1507880 1919120 2111032 2638790 3015760 4222064 5277580 10555160 21110320