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76383930 = 23574771109
BaseRepresentation
bin1001000110110…
…00011010111010
312022201201001110
410203120122322
5124023241210
611325101150
71615152450
oct443303272
9168651043
1076383930
113a131417
12216b77b6
1312a954bc
14a2049d0
156a8c420
hex48d86ba

76383930 has 128 divisors (see below), whose sum is σ = 218972160. Its totient is φ = 16692480.

The previous prime is 76383929. The next prime is 76383973. The reversal of 76383930 is 3938367.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 700716 + ... + 700824.

It is an arithmetic number, because the mean of its divisors is an integer number (1710720).

Almost surely, 276383930 is an apocalyptic number.

76383930 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 76383930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109486080).

76383930 is an abundant number, since it is smaller than the sum of its proper divisors (142588230).

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

76383930 is a wasteful number, since it uses less digits than its factorization.

76383930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244.

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 76383930 is about 8739.7900432447. The cubic root of 76383930 is about 424.2944325237.

The spelling of 76383930 in words is "seventy-six million, three hundred eighty-three thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 47 70 71 94 105 109 141 142 210 213 218 235 282 327 329 355 426 470 497 545 654 658 705 710 763 987 994 1065 1090 1410 1491 1526 1635 1645 1974 2130 2289 2485 2982 3270 3290 3337 3815 4578 4935 4970 5123 6674 7455 7630 7739 9870 10011 10246 11445 14910 15369 15478 16685 20022 22890 23217 23359 25615 30738 33370 35861 38695 46434 46718 50055 51230 54173 70077 71722 76845 77390 100110 107583 108346 116085 116795 140154 153690 162519 179305 215166 232170 233590 270865 325038 350385 358610 363733 537915 541730 700770 727466 812595 1075830 1091199 1625190 1818665 2182398 2546131 3637330 5092262 5455995 7638393 10911990 12730655 15276786 25461310 38191965 76383930