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81378216 = 23331979251
BaseRepresentation
bin1001101100110…
…11101110101000
312200010102221000
410312123232220
5131313100331
612024115000
72005463163
oct466335650
9180112830
1081378216
1141a32727
1223305a60
1313b237ba
14ab44ada
1572270e6
hex4d9bba8

81378216 has 128 divisors (see below), whose sum is σ = 241920000. Its totient is φ = 25272000.

The previous prime is 81378211. The next prime is 81378217. The reversal of 81378216 is 61287318.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (81378211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324091 + ... + 324341.

It is an arithmetic number, because the mean of its divisors is an integer number (1890000).

Almost surely, 281378216 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 81378216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960000).

81378216 is an abundant number, since it is smaller than the sum of its proper divisors (160541784).

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

81378216 is a wasteful number, since it uses less digits than its factorization.

81378216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 354 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 81378216 is about 9020.9875290901. The cubic root of 81378216 is about 433.3472600389.

The spelling of 81378216 in words is "eighty-one million, three hundred seventy-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 79 108 114 152 158 171 216 228 237 251 316 342 456 474 502 513 632 684 711 753 948 1004 1026 1368 1422 1501 1506 1896 2008 2052 2133 2259 2844 3002 3012 4104 4266 4503 4518 4769 5688 6004 6024 6777 8532 9006 9036 9538 12008 13509 13554 14307 17064 18012 18072 19076 19829 27018 27108 28614 36024 38152 39658 40527 42921 54036 54216 57228 59487 79316 81054 85842 108072 114456 118974 128763 158632 162108 171684 178461 237948 257526 324216 343368 356922 376751 475896 515052 535383 713844 753502 1030104 1070766 1130253 1427688 1507004 2141532 2260506 3014008 3390759 4283064 4521012 6781518 9042024 10172277 13563036 20344554 27126072 40689108 81378216