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81203364 = 223311292357
BaseRepresentation
bin1001101011100…
…01000010100100
312122210120002000
410311301002210
5131242001424
612020245300
72004134334
oct465610244
9178716060
1081203364
1141923320
1223240830
1313a92038
14aadb0c4
1571e03c9
hex4d710a4

81203364 has 96 divisors (see below), whose sum is σ = 237686400. Its totient is φ = 23748480.

The previous prime is 81203351. The next prime is 81203371. The reversal of 81203364 is 46330218.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33274 + ... + 35630.

It is an arithmetic number, because the mean of its divisors is an integer number (2475900).

Almost surely, 281203364 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 81203364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118843200).

81203364 is an abundant number, since it is smaller than the sum of its proper divisors (156483036).

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

81203364 is a wasteful number, since it uses less digits than its factorization.

81203364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 81203364 is about 9011.2909175101. The cubic root of 81203364 is about 433.0366692682.

The spelling of 81203364 in words is "eighty-one million, two hundred three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 29 33 36 44 54 58 66 87 99 108 116 132 174 198 261 297 319 348 396 522 594 638 783 957 1044 1188 1276 1566 1914 2357 2871 3132 3828 4714 5742 7071 8613 9428 11484 14142 17226 21213 25927 28284 34452 42426 51854 63639 68353 77781 84852 103708 127278 136706 155562 205059 233343 254556 273412 311124 410118 466686 615177 700029 751883 820236 933372 1230354 1400058 1503766 1845531 2255649 2460708 2800116 3007532 3691062 4511298 6766947 7382124 9022596 13533894 20300841 27067788 40601682 81203364