Search a number
-
+
84040000 = 265411191
BaseRepresentation
bin1010000001001…
…01100101000000
312212010200012121
411000211211000
5133003240000
612201134024
72040220402
oct500454500
9185120177
1084040000
1143490550
122418a314
1314546215
14b238b72
1575a0b1a
hex5025940

84040000 has 140 divisors (see below), whose sum is σ = 228526848. Its totient is φ = 30400000.

The previous prime is 84039997. The next prime is 84040007. The reversal of 84040000 is 4048.

84040000 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84040007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 439905 + ... + 440095.

Almost surely, 284040000 is an apocalyptic number.

84040000 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 84040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114263424).

84040000 is an abundant number, since it is smaller than the sum of its proper divisors (144486848).

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

84040000 is a wasteful number, since it uses less digits than its factorization.

84040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 84040000 is about 9167.3333090927. Note that the first 4 decimals coincide. The cubic root of 84040000 is about 438.0214191342.

Adding to 84040000 its reverse (4048), we get a palindrome (84044048).

The spelling of 84040000 in words is "eighty-four million, forty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 191 200 220 250 275 320 352 382 400 440 500 550 625 704 764 800 880 955 1000 1100 1250 1375 1528 1600 1760 1910 2000 2101 2200 2500 2750 3056 3520 3820 4000 4202 4400 4775 5000 5500 6112 6875 7640 8000 8404 8800 9550 10000 10505 11000 12224 13750 15280 16808 17600 19100 20000 21010 22000 23875 27500 30560 33616 38200 40000 42020 44000 47750 52525 55000 61120 67232 76400 84040 88000 95500 105050 110000 119375 134464 152800 168080 191000 210100 220000 238750 262625 305600 336160 382000 420200 440000 477500 525250 672320 764000 840400 955000 1050500 1313125 1528000 1680800 1910000 2101000 2626250 3361600 3820000 4202000 5252500 7640000 8404000 10505000 16808000 21010000 42020000 84040000