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76027230 = 23251723779
BaseRepresentation
bin1001000100000…
…01010101011110
312022001120202100
410202001111132
5123430332410
611313305530
71612135506
oct442012536
9168046670
1076027230
1139a08424
12215652a6
131299c036
14a150a06
156a1b8c0
hex488155e

76027230 has 144 divisors (see below), whose sum is σ = 218387520. Its totient is φ = 18330624.

The previous prime is 76027229. The next prime is 76027249. The reversal of 76027230 is 3272067.

It is a junction number, because it is equal to n+sod(n) for n = 76027194 and 76027203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 962331 + ... + 962409.

It is an arithmetic number, because the mean of its divisors is an integer number (1516580).

Almost surely, 276027230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76027230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109193760).

76027230 is an abundant number, since it is smaller than the sum of its proper divisors (142360290).

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

76027230 is a wasteful number, since it uses less digits than its factorization.

76027230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 76027230 is about 8719.3594948253. The cubic root of 76027230 is about 423.6329407517.

Adding to 76027230 its reverse (3272067), we get a palindrome (79299297).

The spelling of 76027230 in words is "seventy-six million, twenty-seven thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 37 45 51 74 79 85 90 102 111 153 158 170 185 222 237 255 289 306 333 370 395 474 510 555 578 629 666 711 765 790 867 1110 1185 1258 1343 1422 1445 1530 1665 1734 1887 2370 2601 2686 2890 2923 3145 3330 3555 3774 4029 4335 5202 5661 5846 6290 6715 7110 8058 8670 8769 9435 10693 11322 12087 13005 13430 14615 17538 18870 20145 21386 22831 24174 26010 26307 28305 29230 32079 40290 43845 45662 49691 52614 53465 56610 60435 64158 68493 87690 96237 99382 106930 114155 120870 131535 136986 149073 160395 192474 205479 228310 248455 263070 298146 320790 342465 410958 447219 481185 496910 684930 745365 844747 894438 962370 1027395 1490730 1689494 2054790 2236095 2534241 4223735 4472190 5068482 7602723 8447470 12671205 15205446 25342410 38013615 76027230