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81130680 = 23335431747
BaseRepresentation
bin1001101010111…
…11010010111000
312122122212101000
410311133102320
5131232140210
612014525000
72003412411
oct465372270
9178585330
1081130680
1141883754
1223206760
1313a67c27
14aabc808
1571c8ac0
hex4d5f4b8

81130680 has 128 divisors (see below), whose sum is σ = 276883200. Its totient is φ = 21119616.

The previous prime is 81130657. The next prime is 81130697. The reversal of 81130680 is 8603118.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 45567 + ... + 47313.

It is an arithmetic number, because the mean of its divisors is an integer number (2163150).

Almost surely, 281130680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81130680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138441600).

81130680 is an abundant number, since it is smaller than the sum of its proper divisors (195752520).

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

81130680 is a wasteful number, since it uses less digits than its factorization.

81130680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 81130680 is about 9007.2570741597. The cubic root of 81130680 is about 432.9074290032.

Adding to 81130680 its reverse (8603118), we get a palindrome (89733798).

It can be divided in two parts, 81130 and 680, that added together give a triangular number (81810 = T404).

The spelling of 81130680 in words is "eighty-one million, one hundred thirty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 43 45 54 60 72 86 90 108 120 129 135 172 180 215 216 258 270 344 360 387 430 516 540 645 774 860 1032 1080 1161 1290 1548 1720 1747 1935 2322 2580 3096 3494 3870 4644 5160 5241 5805 6988 7740 8735 9288 10482 11610 13976 15480 15723 17470 20964 23220 26205 31446 34940 41928 46440 47169 52410 62892 69880 75121 78615 94338 104820 125784 150242 157230 188676 209640 225363 235845 300484 314460 375605 377352 450726 471690 600968 628920 676089 751210 901452 943380 1126815 1352178 1502420 1802904 1886760 2028267 2253630 2704356 3004840 3380445 4056534 4507260 5408712 6760890 8113068 9014520 10141335 13521780 16226136 20282670 27043560 40565340 81130680