Search a number
-
+
84067380 = 223251783331
BaseRepresentation
bin1010000001011…
…00010000110100
312212012001202200
411000230100310
5133010124010
612201504500
72040363255
oct500542064
9185161680
1084067380
11434aa081
12241a2130
1314555817
14b244b2c
1575a8cc0
hex502c434

84067380 has 144 divisors (see below), whose sum is σ = 274083264. Its totient is φ = 20782080.

The previous prime is 84067331. The next prime is 84067393. The reversal of 84067380 is 8376048.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 253815 + ... + 254145.

It is an arithmetic number, because the mean of its divisors is an integer number (1903356).

Almost surely, 284067380 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 84067380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137041632).

84067380 is an abundant number, since it is smaller than the sum of its proper divisors (190015884).

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

84067380 is a wasteful number, since it uses less digits than its factorization.

84067380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 84067380 is about 9168.8265334229. The cubic root of 84067380 is about 438.0689826923.

The spelling of 84067380 in words is "eighty-four million, sixty-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 83 85 90 102 153 166 170 180 204 249 255 306 331 332 340 415 498 510 612 662 747 765 830 993 996 1020 1245 1324 1411 1494 1530 1655 1660 1986 2490 2822 2979 2988 3060 3310 3735 3972 4233 4965 4980 5627 5644 5958 6620 7055 7470 8466 9930 11254 11916 12699 14110 14895 14940 16881 16932 19860 21165 22508 25398 27473 28135 28220 29790 33762 42330 50643 50796 54946 56270 59580 63495 67524 82419 84405 84660 101286 109892 112540 126990 137365 164838 168810 202572 247257 253215 253980 274730 329676 337620 412095 467041 494514 506430 549460 824190 934082 989028 1012860 1236285 1401123 1648380 1868164 2335205 2472570 2802246 4203369 4670410 4945140 5604492 7005615 8406738 9340820 14011230 16813476 21016845 28022460 42033690 84067380