[go: up one dir, main page]

Search a number
-
+
81111840 = 2535295827
BaseRepresentation
bin1001101010110…
…10101100100000
312122121220112020
410311122230200
5131231034330
612014301440
72003303445
oct465325440
9178556466
1081111840
1141870587
12231b7880
1313a5c494
14aab59cc
1571c3210
hex4d5ab20

81111840 has 96 divisors (see below), whose sum is σ = 264358080. Its totient is φ = 20880384.

The previous prime is 81111799. The next prime is 81111853. The reversal of 81111840 is 4811118.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 81111840.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11007 + ... + 16833.

It is an arithmetic number, because the mean of its divisors is an integer number (2753730).

Almost surely, 281111840 is an apocalyptic number.

81111840 is a gapful number since it is divisible by the number (80) 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 81111840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132179040).

81111840 is an abundant number, since it is smaller than the sum of its proper divisors (183246240).

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

81111840 is a wasteful number, since it uses less digits than its factorization.

81111840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5874 (or 5866 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 24.

The square root of 81111840 is about 9006.2111900621. The cubic root of 81111840 is about 432.8739167842.

Adding to 81111840 its reverse (4811118), we get a palindrome (85922958).

The spelling of 81111840 in words is "eighty-one million, one hundred eleven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 80 87 96 116 120 145 160 174 232 240 290 348 435 464 480 580 696 870 928 1160 1392 1740 2320 2784 3480 4640 5827 6960 11654 13920 17481 23308 29135 34962 46616 58270 69924 87405 93232 116540 139848 168983 174810 186464 233080 279696 337966 349620 466160 506949 559392 675932 699240 844915 932320 1013898 1351864 1398480 1689830 2027796 2534745 2703728 2796960 3379660 4055592 5069490 5407456 6759320 8111184 10138980 13518640 16222368 20277960 27037280 40555920 81111840