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81996120 = 23325239953
BaseRepresentation
bin1001110001100…
…10100101011000
312201021211112100
410320302211120
5131442333440
612045243400
72013645513
oct470624530
9181254470
1081996120
1142314998
1223563560
1313cabb1b
14ac65d7a
1572ea230
hex4e32958

81996120 has 96 divisors (see below), whose sum is σ = 267883200. Its totient is φ = 21751296.

The previous prime is 81996113. The next prime is 81996121. The reversal of 81996120 is 2169918.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81996121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85564 + ... + 86516.

It is an arithmetic number, because the mean of its divisors is an integer number (2790450).

Almost surely, 281996120 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 81996120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133941600).

81996120 is an abundant number, since it is smaller than the sum of its proper divisors (185887080).

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

81996120 is a wasteful number, since it uses less digits than its factorization.

81996120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 81996120 is about 9055.1708984425. The cubic root of 81996120 is about 434.4412961972.

The spelling of 81996120 in words is "eighty-one million, nine hundred ninety-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 239 360 478 717 953 956 1195 1434 1906 1912 2151 2390 2859 2868 3585 3812 4302 4765 4780 5718 5736 7170 7624 8577 8604 9530 9560 10755 11436 14295 14340 17154 17208 19060 21510 22872 28590 28680 34308 38120 42885 43020 57180 68616 85770 86040 114360 171540 227767 343080 455534 683301 911068 1138835 1366602 1822136 2049903 2277670 2733204 3416505 4099806 4555340 5466408 6833010 8199612 9110680 10249515 13666020 16399224 20499030 27332040 40998060 81996120