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81409320 = 23335431753
BaseRepresentation
bin1001101101000…
…11010100101000
312200012000121000
410312203110220
5131320044240
612024515000
72005652646
oct466432450
9180160530
1081409320
1141a54033
122331ba60
1313b349c5
14ab52196
157231430
hex4da3528

81409320 has 128 divisors (see below), whose sum is σ = 277833600. Its totient is φ = 21192192.

The previous prime is 81409309. The next prime is 81409337. The reversal of 81409320 is 2390418.

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

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, 45564 + ... + 47316.

It is an arithmetic number, because the mean of its divisors is an integer number (2170575).

Almost surely, 281409320 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 81409320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138916800).

81409320 is an abundant number, since it is smaller than the sum of its proper divisors (196424280).

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

81409320 is a wasteful number, since it uses less digits than its factorization.

81409320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 81409320 is about 9022.7113441581. The cubic root of 81409320 is about 433.4024636587.

Adding to 81409320 its reverse (2390418), we get a palindrome (83799738).

The spelling of 81409320 in words is "eighty-one million, four hundred nine thousand, three hundred twenty".

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 1753 1935 2322 2580 3096 3506 3870 4644 5160 5259 5805 7012 7740 8765 9288 10518 11610 14024 15480 15777 17530 21036 23220 26295 31554 35060 42072 46440 47331 52590 63108 70120 75379 78885 94662 105180 126216 150758 157770 189324 210360 226137 236655 301516 315540 376895 378648 452274 473310 603032 631080 678411 753790 904548 946620 1130685 1356822 1507580 1809096 1893240 2035233 2261370 2713644 3015160 3392055 4070466 4522740 5427288 6784110 8140932 9045480 10176165 13568220 16281864 20352330 27136440 40704660 81409320