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81902730 = 235713191579
BaseRepresentation
bin1001110000110…
…11110010001010
312201010002102110
410320123302022
5131431341410
612043243150
72013106320
oct470336212
9181102373
1081902730
1142260808
12235194b6
1313c78470
14ac3dd10
1572cc720
hex4e1bc8a

81902730 has 128 divisors (see below), whose sum is σ = 254822400. Its totient is φ = 16360704.

The previous prime is 81902729. The next prime is 81902731. The reversal of 81902730 is 3720918.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (81902729) and next prime (81902731).

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (81902731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51081 + ... + 52659.

It is an arithmetic number, because the mean of its divisors is an integer number (1990800).

Almost surely, 281902730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81902730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127411200).

81902730 is an abundant number, since it is smaller than the sum of its proper divisors (172919670).

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

81902730 is a wasteful number, since it uses less digits than its factorization.

81902730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628.

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 81902730 is about 9050.0127071734. The cubic root of 81902730 is about 434.2762969841.

The spelling of 81902730 in words is "eighty-one million, nine hundred two thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 19 21 26 30 35 38 39 42 57 65 70 78 91 95 105 114 130 133 182 190 195 210 247 266 273 285 390 399 455 494 546 570 665 741 798 910 1235 1330 1365 1482 1579 1729 1995 2470 2730 3158 3458 3705 3990 4737 5187 7410 7895 8645 9474 10374 11053 15790 17290 20527 22106 23685 25935 30001 33159 41054 47370 51870 55265 60002 61581 66318 90003 102635 110530 123162 143689 150005 165795 180006 205270 210007 287378 300010 307905 331590 390013 420014 431067 450015 615810 630021 718445 780026 862134 900030 1050035 1170039 1260042 1436890 1950065 2100070 2155335 2340078 2730091 3150105 3900130 4310670 5460182 5850195 6300210 8190273 11700390 13650455 16380546 27300910 40951365 81902730