Search a number
-
+
80966508 = 223737109239
BaseRepresentation
bin1001101001101…
…11001101101100
312122100112011120
410310313031230
5131211412013
612011220540
72002126650
oct464671554
9178315146
1080966508
1141781377
1223147750
1313a0b29c
14aa78a60
157195123
hex4d3736c

80966508 has 96 divisors (see below), whose sum is σ = 224716800. Its totient is φ = 22208256.

The previous prime is 80966507. The next prime is 80966519. The reversal of 80966508 is 80566908.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 80966508.

It is not an unprimeable number, because it can be changed into a prime (80966503) 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, 338653 + ... + 338891.

It is an arithmetic number, because the mean of its divisors is an integer number (2340800).

Almost surely, 280966508 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 80966508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112358400).

80966508 is an abundant number, since it is smaller than the sum of its proper divisors (143750292).

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

80966508 is a wasteful number, since it uses less digits than its factorization.

80966508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 80966508 is about 8998.1391409558. The cubic root of 80966508 is about 432.6152285222.

The spelling of 80966508 in words is "eighty million, nine hundred sixty-six thousand, five hundred eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 109 111 148 218 222 239 259 327 436 444 478 518 654 717 763 777 956 1036 1308 1434 1526 1554 1673 2289 2868 3052 3108 3346 4033 4578 5019 6692 8066 8843 9156 10038 12099 16132 17686 20076 24198 26051 26529 28231 35372 48396 52102 53058 56462 61901 78153 84693 104204 106116 112924 123802 156306 169386 182357 185703 247604 312612 338772 364714 371406 547071 729428 742812 963887 1094142 1927774 2188284 2891661 3855548 5783322 6747209 11566644 13494418 20241627 26988836 40483254 80966508