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81096400 = 24527112633
BaseRepresentation
bin1001101010101…
…10111011010000
312122121010100101
410311112323100
5131230041100
612014102144
72003210440
oct465267320
9178533311
1081096400
114185aa20
12231aa954
1313a55448
14aab0120
1571bd86a
hex4d56ed0

81096400 has 120 divisors (see below), whose sum is σ = 243002304. Its totient is φ = 25267200.

The previous prime is 81096397. The next prime is 81096419. The reversal of 81096400 is 469018.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29484 + ... + 32116.

Almost surely, 281096400 is an apocalyptic number.

81096400 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 81096400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121501152).

81096400 is an abundant number, since it is smaller than the sum of its proper divisors (161905904).

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

81096400 is a wasteful number, since it uses less digits than its factorization.

81096400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2669 (or 2658 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 81096400 is about 9005.3539630600. The cubic root of 81096400 is about 432.8464485485.

The spelling of 81096400 in words is "eighty-one million, ninety-six thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 25 28 35 40 44 50 55 56 70 77 80 88 100 110 112 140 154 175 176 200 220 275 280 308 350 385 400 440 550 560 616 700 770 880 1100 1232 1400 1540 1925 2200 2633 2800 3080 3850 4400 5266 6160 7700 10532 13165 15400 18431 21064 26330 28963 30800 36862 42128 52660 57926 65825 73724 92155 105320 115852 131650 144815 147448 184310 202741 210640 231704 263300 289630 294896 368620 405482 460775 463408 526600 579260 724075 737240 810964 921550 1013705 1053200 1158520 1448150 1474480 1621928 1843100 2027410 2317040 2896300 3243856 3686200 4054820 5068525 5792600 7372400 8109640 10137050 11585200 16219280 20274100 40548200 81096400