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81371400 = 233521112329
BaseRepresentation
bin1001101100110…
…10000100001000
312200010002120120
410312122010020
5131312341100
612024023240
72005434255
oct466320410
9180102516
1081371400
1141a285a0
1223301b20
1313b20676
14ab4242c
1572250a0
hex4d9a108

81371400 has 96 divisors (see below), whose sum is σ = 275205600. Its totient is φ = 19724800.

The previous prime is 81371371. The next prime is 81371453. The reversal of 81371400 is 417318.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 436 + ... + 12764.

It is an arithmetic number, because the mean of its divisors is an integer number (2866725).

Almost surely, 281371400 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 81371400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137602800).

81371400 is an abundant number, since it is smaller than the sum of its proper divisors (193834200).

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

81371400 is a wasteful number, since it uses less digits than its factorization.

81371400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12359 (or 12350 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 81371400 is about 9020.6097354891. The cubic root of 81371400 is about 433.3351610705.

Adding to 81371400 its reverse (417318), we get a palindrome (81788718).

The spelling of 81371400 in words is "eighty-one million, three hundred seventy-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 12329 24658 36987 49316 61645 73974 98632 123290 135619 147948 184935 246580 271238 295896 308225 369870 406857 493160 542476 616450 678095 739740 813714 924675 1084952 1232900 1356190 1479480 1627428 1849350 2034285 2465800 2712380 3254856 3390475 3698700 4068570 5424760 6780950 7397400 8137140 10171425 13561900 16274280 20342850 27123800 40685700 81371400