Search a number
-
+
84421040 = 24511234397
BaseRepresentation
bin1010000100000…
…10100110110000
312212212000220012
411002002212300
5133102433130
612213234052
72043365324
oct502024660
9185760805
1084421040
1143720860
1224332928
131464a7a2
14b2d7984
157628995
hex50829b0

84421040 has 160 divisors (see below), whose sum is σ = 230985216. Its totient is φ = 28385280.

The previous prime is 84421037. The next prime is 84421061. The reversal of 84421040 is 4012448.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 84420997 and 84421015.

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, 870272 + ... + 870368.

Almost surely, 284421040 is an apocalyptic number.

84421040 is a gapful number since it is divisible by the number (80) 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 84421040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115492608).

84421040 is an abundant number, since it is smaller than the sum of its proper divisors (146564176).

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

84421040 is a wasteful number, since it uses less digits than its factorization.

84421040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 84421040 is about 9188.0922938334. The cubic root of 84421040 is about 438.6824220938.

Adding to 84421040 its reverse (4012448), we get a palindrome (88433488).

It can be divided in two parts, 84 and 421040, that added together give a palindrome (421124).

The spelling of 84421040 in words is "eighty-four million, four hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 43 44 46 55 80 86 88 92 97 110 115 172 176 184 194 215 220 230 253 344 368 388 430 440 460 473 485 506 688 776 860 880 920 946 970 989 1012 1067 1265 1552 1720 1840 1892 1940 1978 2024 2134 2231 2365 2530 3440 3784 3880 3956 4048 4171 4268 4462 4730 4945 5060 5335 7568 7760 7912 8342 8536 8924 9460 9890 10120 10670 10879 11155 15824 16684 17072 17848 18920 19780 20240 20855 21340 21758 22310 24541 33368 35696 37840 39560 41710 42680 43516 44620 45881 49082 54395 66736 79120 83420 85360 87032 89240 91762 95933 98164 108790 122705 166840 174064 178480 183524 191866 196328 217580 229405 245410 333680 367048 383732 392656 435160 458810 479665 490820 734096 767464 870320 917620 959330 981640 1055263 1534928 1835240 1918660 1963280 2110526 3670480 3837320 4221052 5276315 7674640 8442104 10552630 16884208 21105260 42210520 84421040