Search a number
-
+
134506320 = 243513192269
BaseRepresentation
bin10000000010001…
…10011101010000
3100101002121222120
420001012131100
5233413200240
621202534240
73222166464
oct1001063520
9311077876
10134506320
1169a1a653
1239067380
1321b35950
1413c144a4
15bc1dad0
hex8046750

134506320 has 160 divisors (see below), whose sum is σ = 472886400. Its totient is φ = 31352832.

The previous prime is 134506313. The next prime is 134506331. The reversal of 134506320 is 23605431.

It is a happy number.

134506320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 58146 + ... + 60414.

It is an arithmetic number, because the mean of its divisors is an integer number (2955540).

Almost surely, 2134506320 is an apocalyptic number.

134506320 is a gapful number since it is divisible by the number (10) 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 134506320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236443200).

134506320 is an abundant number, since it is smaller than the sum of its proper divisors (338380080).

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

134506320 is a wasteful number, since it uses less digits than its factorization.

134506320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 134506320 is about 11597.6859760902. The cubic root of 134506320 is about 512.3667010057.

The spelling of 134506320 in words is "one hundred thirty-four million, five hundred six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 26 30 38 39 40 48 52 57 60 65 76 78 80 95 104 114 120 130 152 156 190 195 208 228 240 247 260 285 304 312 380 390 456 494 520 570 624 741 760 780 912 988 1040 1140 1235 1482 1520 1560 1976 2269 2280 2470 2964 3120 3705 3952 4538 4560 4940 5928 6807 7410 9076 9880 11345 11856 13614 14820 18152 19760 22690 27228 29497 29640 34035 36304 43111 45380 54456 58994 59280 68070 86222 88491 90760 108912 117988 129333 136140 147485 172444 176982 181520 215555 235976 258666 272280 294970 344888 353964 431110 442455 471952 517332 544560 560443 589940 646665 689776 707928 862220 884910 1034664 1120886 1179880 1293330 1415856 1681329 1724440 1769820 2069328 2241772 2359760 2586660 2802215 3362658 3448880 3539640 4483544 5173320 5604430 6725316 7079280 8406645 8967088 10346640 11208860 13450632 16813290 22417720 26901264 33626580 44835440 67253160 134506320