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21370140 = 223251143251
BaseRepresentation
bin101000110000…
…1010100011100
31111012201022200
41101201110130
520432321030
62042011500
7346433421
oct121412434
944181280
1021370140
1111076780
1271a6b90
134572c6c
142ba3d48
151d21d60
hex146151c

21370140 has 144 divisors (see below), whose sum is σ = 72648576. Its totient is φ = 5040000.

The previous prime is 21370133. The next prime is 21370157. The reversal of 21370140 is 4107312.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85015 + ... + 85265.

It is an arithmetic number, because the mean of its divisors is an integer number (504504).

Almost surely, 221370140 is an apocalyptic number.

21370140 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 21370140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36324288).

21370140 is an abundant number, since it is smaller than the sum of its proper divisors (51278436).

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

21370140 is a wasteful number, since it uses less digits than its factorization.

21370140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 21370140 is about 4622.7848749428. The cubic root of 21370140 is about 277.5039200810.

Adding to 21370140 its reverse (4107312), we get a palindrome (25477452).

The spelling of 21370140 in words is "twenty-one million, three hundred seventy thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 43 44 45 55 60 66 86 90 99 110 129 132 165 172 180 198 215 220 251 258 330 387 396 430 473 495 502 516 645 660 753 774 860 946 990 1004 1255 1290 1419 1506 1548 1892 1935 1980 2259 2365 2510 2580 2761 2838 3012 3765 3870 4257 4518 4730 5020 5522 5676 7095 7530 7740 8283 8514 9036 9460 10793 11044 11295 13805 14190 15060 16566 17028 21285 21586 22590 24849 27610 28380 32379 33132 41415 42570 43172 45180 49698 53965 55220 64758 82830 85140 97137 99396 107930 118723 124245 129516 161895 165660 194274 215860 237446 248490 323790 356169 388548 474892 485685 496980 593615 647580 712338 971370 1068507 1187230 1424676 1780845 1942740 2137014 2374460 3561690 4274028 5342535 7123380 10685070 21370140