Search a number
-
+
134369928 = 23347112693
BaseRepresentation
bin10000000001001…
…01001010001000
3100100211200220000
420000211022020
5233344314203
621200003000
73221061030
oct1000451210
9310750800
10134369928
1169937130
1239000460
1321ab8844
1413bba8c0
15bbe34a3
hex8025288

134369928 has 160 divisors (see below), whose sum is σ = 469402560. Its totient is φ = 34888320.

The previous prime is 134369927. The next prime is 134369941. The reversal of 134369928 is 829963431.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (134369923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 48550 + ... + 51242.

It is an arithmetic number, because the mean of its divisors is an integer number (2933766).

Almost surely, 2134369928 is an apocalyptic number.

134369928 is a gapful number since it is divisible by the number (18) 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 134369928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234701280).

134369928 is an abundant number, since it is smaller than the sum of its proper divisors (335032632).

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

134369928 is a wasteful number, since it uses less digits than its factorization.

134369928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2729 (or 2716 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 134369928 is about 11591.8043461749. The cubic root of 134369928 is about 512.1934592002.

The spelling of 134369928 in words is "one hundred thirty-four million, three hundred sixty-nine thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 81 84 88 99 108 126 132 154 162 168 189 198 216 231 252 264 297 308 324 378 396 462 504 567 594 616 648 693 756 792 891 924 1134 1188 1386 1512 1782 1848 2079 2268 2376 2693 2772 3564 4158 4536 5386 5544 6237 7128 8079 8316 10772 12474 16158 16632 18851 21544 24237 24948 29623 32316 37702 48474 49896 56553 59246 64632 72711 75404 88869 96948 113106 118492 145422 150808 169659 177738 193896 207361 218133 226212 236984 266607 290844 339318 355476 414722 436266 452424 508977 533214 581688 622083 678636 710952 799821 829444 872532 1017954 1066428 1244166 1357272 1526931 1599642 1658888 1745064 1866249 2035908 2132856 2399463 2488332 3053862 3199284 3732498 4071816 4798926 4976664 5598747 6107724 6398568 7464996 9597852 11197494 12215448 14929992 16796241 19195704 22394988 33592482 44789976 67184964 134369928