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81450360 = 23345231093
BaseRepresentation
bin1001101101011…
…01010101111000
312200021002220000
410312231111320
5131322402420
612025433000
72006213415
oct466552570
9180232800
1081450360
1141a81952
122333b760
1313b4a5a4
14ab6310c
15723d690
hex4dad578

81450360 has 160 divisors (see below), whose sum is σ = 285927840. Its totient is φ = 20756736.

The previous prime is 81450353. The next prime is 81450367. The reversal of 81450360 is 6305418.

It is an interprime number because it is at equal distance from previous prime (81450353) and next prime (81450367).

It is a super-2 number, since 2×814503602 = 13268322288259200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81450367) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 73974 + ... + 75066.

It is an arithmetic number, because the mean of its divisors is an integer number (1787049).

Almost surely, 281450360 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 81450360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142963920).

81450360 is an abundant number, since it is smaller than the sum of its proper divisors (204477480).

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

81450360 is a wasteful number, since it uses less digits than its factorization.

81450360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1126 counting only the distinct ones).

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

The square root of 81450360 is about 9024.9853185476. The cubic root of 81450360 is about 433.4752802561.

Adding to 81450360 its reverse (6305418), we get a palindrome (87755778).

It can be divided in two parts, 81450 and 360, that added together give a triangular number (81810 = T404).

The spelling of 81450360 in words is "eighty-one million, four hundred fifty thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 27 30 36 40 45 46 54 60 69 72 81 90 92 108 115 120 135 138 162 180 184 207 216 230 270 276 324 345 360 405 414 460 540 552 621 648 690 810 828 920 1035 1080 1093 1242 1380 1620 1656 1863 2070 2186 2484 2760 3105 3240 3279 3726 4140 4372 4968 5465 6210 6558 7452 8280 8744 9315 9837 10930 12420 13116 14904 16395 18630 19674 21860 24840 25139 26232 29511 32790 37260 39348 43720 49185 50278 59022 65580 74520 75417 78696 88533 98370 100556 118044 125695 131160 147555 150834 177066 196740 201112 226251 236088 251390 295110 301668 354132 377085 393480 442665 452502 502780 590220 603336 678753 708264 754170 885330 905004 1005560 1131255 1180440 1357506 1508340 1770660 1810008 2036259 2262510 2715012 3016680 3393765 3541320 4072518 4525020 5430024 6787530 8145036 9050040 10181295 13575060 16290072 20362590 27150120 40725180 81450360