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81111672 = 23331372741
BaseRepresentation
bin1001101010110…
…10101001111000
312122121220022000
410311122221320
5131231033142
612014301000
72003303115
oct465325170
9178556260
1081111672
1141870444
12231b7760
1313a5c395
14aab590c
1571c314c
hex4d5aa78

81111672 has 64 divisors (see below), whose sum is σ = 227037600. Its totient is φ = 26830080.

The previous prime is 81111661. The next prime is 81111673. The reversal of 81111672 is 27611118.

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 (81111673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28222 + ... + 30962.

Almost surely, 281111672 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 81111672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113518800).

81111672 is an abundant number, since it is smaller than the sum of its proper divisors (145925928).

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

81111672 is a wasteful number, since it uses less digits than its factorization.

81111672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2893 (or 2883 counting only the distinct ones).

The product of its digits is 672, while the sum is 27.

The square root of 81111672 is about 9006.2018631607. The cubic root of 81111672 is about 432.8736179257.

The spelling of 81111672 in words is "eighty-one million, one hundred eleven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 137 216 274 411 548 822 1096 1233 1644 2466 2741 3288 3699 4932 5482 7398 8223 9864 10964 14796 16446 21928 24669 29592 32892 49338 65784 74007 98676 148014 197352 296028 375517 592056 751034 1126551 1502068 2253102 3004136 3379653 4506204 6759306 9012408 10138959 13518612 20277918 27037224 40555836 81111672