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80133312 = 2637109547
BaseRepresentation
bin1001100011010…
…11110011000000
312120210012020110
410301223303000
5131003231222
611541311320
71662056550
oct461536300
9176705213
1080133312
1141262386
1222a05540
13137a8c7c
14a8dd160
15707d30c
hex4c6bcc0

80133312 has 112 divisors (see below), whose sum is σ = 244977920. Its totient is φ = 22643712.

The previous prime is 80133289. The next prime is 80133323. The reversal of 80133312 is 21333108.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146223 + ... + 146769.

Almost surely, 280133312 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 80133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122488960).

80133312 is an abundant number, since it is smaller than the sum of its proper divisors (164844608).

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

80133312 is a wasteful number, since it uses less digits than its factorization.

80133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 80133312 is about 8951.7211752824. The cubic root of 80133312 is about 431.1261485132.

It can be divided in two parts, 8013 and 3312, that added together give a triangular number (11325 = T150).

The spelling of 80133312 in words is "eighty million, one hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 109 112 168 192 218 224 327 336 436 448 547 654 672 763 872 1094 1308 1344 1526 1641 1744 2188 2289 2616 3052 3282 3488 3829 4376 4578 5232 6104 6564 6976 7658 8752 9156 10464 11487 12208 13128 15316 17504 18312 20928 22974 24416 26256 30632 35008 36624 45948 48832 52512 59623 61264 73248 91896 105024 119246 122528 146496 178869 183792 238492 245056 357738 367584 417361 476984 715476 735168 834722 953968 1252083 1430952 1669444 1907936 2504166 2861904 3338888 3815872 5008332 5723808 6677776 10016664 11447616 13355552 20033328 26711104 40066656 80133312