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81265320 = 23325376101
BaseRepresentation
bin1001101100000…
…00001010101000
312122220201001200
410312000022220
5131300442240
612021444200
72004513063
oct466001250
9178821050
1081265320
1141965924
1223270660
1313ab42b6
14ab158da
157203930
hex4d802a8

81265320 has 96 divisors (see below), whose sum is σ = 271294920. Its totient is φ = 21081600.

The previous prime is 81265267. The next prime is 81265333. The reversal of 81265320 is 2356218.

81265320 is a `hidden beast` number, since 8 + 1 + 2 + 653 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 78960996 + 2304324 = 8886^2 + 1518^2 .

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, 10270 + ... + 16370.

Almost surely, 281265320 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 81265320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135647460).

81265320 is an abundant number, since it is smaller than the sum of its proper divisors (190029600).

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

81265320 is a wasteful number, since it uses less digits than its factorization.

81265320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6155 (or 6148 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 81265320 is about 9014.7279493061. The cubic root of 81265320 is about 433.1467730789.

The spelling of 81265320 in words is "eighty-one million, two hundred sixty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1480 1665 2220 2664 3330 4440 6101 6660 12202 13320 18303 24404 30505 36606 48808 54909 61010 73212 91515 109818 122020 146424 183030 219636 225737 244040 274545 366060 439272 451474 549090 677211 732120 902948 1098180 1128685 1354422 1805896 2031633 2196360 2257370 2708844 3386055 4063266 4514740 5417688 6772110 8126532 9029480 10158165 13544220 16253064 20316330 27088440 40632660 81265320