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134876784 = 24372331563
BaseRepresentation
bin10000000101000…
…00111001110000
3100101210110011110
420002200321300
5234012024114
621214513320
73225301530
oct1002407160
9311713143
10134876784
116a152a19
1239205840
1321c35463
1413cad4c0
15bc93759
hex80a0e70

134876784 has 160 divisors (see below), whose sum is σ = 429686784. Its totient is φ = 35608320.

The previous prime is 134876747. The next prime is 134876809. The reversal of 134876784 is 487678431.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

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, 239287 + ... + 239849.

Almost surely, 2134876784 is an apocalyptic number.

134876784 is a gapful number since it is divisible by the number (14) 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 134876784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214843392).

134876784 is an abundant number, since it is smaller than the sum of its proper divisors (294810000).

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

134876784 is a wasteful number, since it uses less digits than its factorization.

134876784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 629 counting only the distinct ones).

The product of its digits is 903168, while the sum is 48.

The square root of 134876784 is about 11613.6464557864. The cubic root of 134876784 is about 512.8366650916.

The spelling of 134876784 in words is "one hundred thirty-four million, eight hundred seventy-six thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 31 42 46 48 56 62 69 84 92 93 112 124 138 161 168 184 186 217 248 276 322 336 368 372 434 483 496 552 563 644 651 713 744 868 966 1104 1126 1288 1302 1426 1488 1689 1736 1932 2139 2252 2576 2604 2852 3378 3472 3864 3941 4278 4504 4991 5208 5704 6756 7728 7882 8556 9008 9982 10416 11408 11823 12949 13512 14973 15764 17112 17453 19964 23646 25898 27024 29946 31528 34224 34906 38847 39928 47292 51796 52359 59892 63056 69812 77694 79856 90643 94584 103592 104718 119784 122171 139624 155388 181286 189168 207184 209436 239568 244342 271929 279248 310776 362572 366513 401419 418872 488684 543858 621552 725144 733026 802838 837744 977368 1087716 1204257 1450288 1466052 1605676 1954736 2175432 2408514 2809933 2932104 3211352 4350864 4817028 5619866 5864208 6422704 8429799 9634056 11239732 16859598 19268112 22479464 33719196 44958928 67438392 134876784