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81862320 = 24353111003
BaseRepresentation
bin1001110000100…
…01111010110000
312201001000222210
410320101322300
5131424043240
612042332120
72012550441
oct470217260
9181030883
1081862320
1142233411
12234ba040
1313c62c57
14ac2d2c8
1572c0780
hex4e11eb0

81862320 has 80 divisors (see below), whose sum is σ = 261983232. Its totient is φ = 21123840.

The previous prime is 81862283. The next prime is 81862321. The reversal of 81862320 is 2326818.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (81862321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1939 + ... + 12941.

Almost surely, 281862320 is an apocalyptic number.

81862320 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 81862320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130991616).

81862320 is an abundant number, since it is smaller than the sum of its proper divisors (180120912).

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

81862320 is a wasteful number, since it uses less digits than its factorization.

81862320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11050 (or 11044 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 81862320 is about 9047.7798381702. The cubic root of 81862320 is about 434.2048626858.

The spelling of 81862320 in words is "eighty-one million, eight hundred sixty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 11003 22006 33009 44012 55015 66018 88024 110030 132036 165045 176048 220060 264072 330090 341093 440120 528144 660180 682186 880240 1023279 1320360 1364372 1705465 2046558 2640720 2728744 3410930 4093116 5116395 5457488 6821860 8186232 10232790 13643720 16372464 20465580 27287440 40931160 81862320