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80134008 = 23331374171
BaseRepresentation
bin1001100011010…
…11111101111000
312120210020012020
410301223331320
5131003242013
611541314440
71662061563
oct461537570
9176706166
1080134008
1141262959
1222a05a20
13137a9396
14a8dd4da
15707d623
hex4c6bf78

80134008 has 128 divisors (see below), whose sum is σ = 220631040. Its totient is φ = 24192000.

The previous prime is 80134007. The next prime is 80134027. The reversal of 80134008 is 80043108.

It is a super-3 number, since 3×801340083 (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80134003) 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, 1128613 + ... + 1128683.

It is an arithmetic number, because the mean of its divisors is an integer number (1723680).

Almost surely, 280134008 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 80134008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110315520).

80134008 is an abundant number, since it is smaller than the sum of its proper divisors (140497032).

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

80134008 is a wasteful number, since it uses less digits than its factorization.

80134008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 80134008 is about 8951.7600504035. The cubic root of 80134008 is about 431.1273966955.

It can be divided in two parts, 8013 and 4008, that added together give a palindrome (12021).

The spelling of 80134008 in words is "eighty million, one hundred thirty-four thousand, eight".

Divisors: 1 2 3 4 6 8 12 24 31 37 41 62 71 74 82 93 111 123 124 142 148 164 186 213 222 246 248 284 296 328 372 426 444 492 568 744 852 888 984 1147 1271 1517 1704 2201 2294 2542 2627 2911 3034 3441 3813 4402 4551 4588 5084 5254 5822 6068 6603 6882 7626 7881 8733 8804 9102 9176 10168 10508 11644 12136 13206 13764 15252 15762 17466 17608 18204 21016 23288 26412 27528 30504 31524 34932 36408 47027 52824 63048 69864 81437 90241 94054 107707 141081 162874 180482 188108 215414 244311 270723 282162 323121 325748 360964 376216 430828 488622 541446 564324 646242 651496 721928 861656 977244 1082892 1128648 1292484 1954488 2165784 2584968 3338917 6677834 10016751 13355668 20033502 26711336 40067004 80134008