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81120676 = 22721323179
BaseRepresentation
bin1001101010111…
…00110110100100
312122122100122111
410311130312210
5131231330201
612014410404
72003341300
oct465346644
9178570574
1081120676
114187718a
1223200a04
1313a63500
14aab8d00
1571c5b51
hex4d5cda4

81120676 has 108 divisors (see below), whose sum is σ = 186923520. Its totient is φ = 30663360.

The previous prime is 81120653. The next prime is 81120679. The reversal of 81120676 is 67602118.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (81120679) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1026805 + ... + 1026883.

Almost surely, 281120676 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 81120676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93461760).

81120676 is an abundant number, since it is smaller than the sum of its proper divisors (105802844).

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

81120676 is a wasteful number, since it uses less digits than its factorization.

81120676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 81120676 is about 9006.7017270475. The cubic root of 81120676 is about 432.8896347321.

It can be divided in two parts, 81120 and 676, that added together give a square (81796 = 2862).

The spelling of 81120676 in words is "eighty-one million, one hundred twenty thousand, six hundred seventy-six".

Divisors: 1 2 4 7 13 14 26 28 31 49 52 62 79 91 98 124 158 169 182 196 217 316 338 364 403 434 553 637 676 806 868 1027 1106 1183 1274 1519 1612 2054 2212 2366 2449 2548 2821 3038 3871 4108 4732 4898 5239 5642 6076 7189 7742 8281 9796 10478 11284 13351 14378 15484 16562 17143 19747 20956 26702 28756 31837 33124 34286 36673 39494 50323 53404 63674 68572 73346 78988 93457 100646 120001 127348 146692 186914 201292 222859 240002 256711 373828 413881 445718 480004 513422 654199 827762 891436 1026844 1308398 1560013 1655524 2616796 2897167 3120026 5794334 6240052 11588668 20280169 40560338 81120676