Search a number
-
+
84724740 = 223255383107
BaseRepresentation
bin1010000110011…
…00110000000100
312220102110111100
411003030300010
5133142142430
612223540100
72046101622
oct503146004
9186373440
1084724740
1143908a51
122445a630
1314725aa9
14b376512
157688960
hex50ccc04

84724740 has 144 divisors (see below), whose sum is σ = 267478848. Its totient is φ = 21695232.

The previous prime is 84724723. The next prime is 84724751. The reversal of 84724740 is 4742748.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 84724695 and 84724704.

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, 791767 + ... + 791873.

It is an arithmetic number, because the mean of its divisors is an integer number (1857492).

Almost surely, 284724740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84724740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133739424).

84724740 is an abundant number, since it is smaller than the sum of its proper divisors (182754108).

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

84724740 is a wasteful number, since it uses less digits than its factorization.

84724740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 84724740 is about 9204.6042826403. The cubic root of 84724740 is about 439.2078377572.

The spelling of 84724740 in words is "eighty-four million, seven hundred twenty-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 83 90 106 107 159 166 180 212 214 249 265 318 321 332 415 428 477 498 530 535 636 642 747 795 830 954 963 996 1060 1070 1245 1284 1494 1590 1605 1660 1908 1926 2140 2385 2490 2988 3180 3210 3735 3852 4399 4770 4815 4980 5671 6420 7470 8798 8881 9540 9630 11342 13197 14940 17013 17596 17762 19260 21995 22684 26394 26643 28355 34026 35524 39591 43990 44405 51039 52788 53286 56710 65985 68052 79182 79929 85065 87980 88810 102078 106572 113420 131970 133215 158364 159858 170130 177620 197955 204156 255195 263940 266430 319716 340260 395910 399645 470693 510390 532860 791820 799290 941386 1020780 1412079 1598580 1882772 2353465 2824158 4236237 4706930 5648316 7060395 8472474 9413860 14120790 16944948 21181185 28241580 42362370 84724740