Search a number
-
+
80271120 = 2435615483
BaseRepresentation
bin1001100100011…
…01011100010000
312121001012021110
410302031130100
5131022133440
611544253320
71663202406
oct462153420
9177035243
1080271120
1141346976
1222a71240
1313826907
14a937476
1570a9080
hex4c8d710

80271120 has 80 divisors (see below), whose sum is σ = 252965952. Its totient is φ = 21050880.

The previous prime is 80271119. The next prime is 80271131. The reversal of 80271120 is 2117208.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11899 + ... + 17381.

Almost surely, 280271120 is an apocalyptic number.

80271120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80271120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126482976).

80271120 is an abundant number, since it is smaller than the sum of its proper divisors (172694832).

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

80271120 is a wasteful number, since it uses less digits than its factorization.

80271120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5560 (or 5554 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 80271120 is about 8959.4151594845. The cubic root of 80271120 is about 431.3731477753.

Adding to 80271120 its reverse (2117208), we get a palindrome (82388328).

The spelling of 80271120 in words is "eighty million, two hundred seventy-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 305 366 488 610 732 915 976 1220 1464 1830 2440 2928 3660 4880 5483 7320 10966 14640 16449 21932 27415 32898 43864 54830 65796 82245 87728 109660 131592 164490 219320 263184 328980 334463 438640 657960 668926 1003389 1315920 1337852 1672315 2006778 2675704 3344630 4013556 5016945 5351408 6689260 8027112 10033890 13378520 16054224 20067780 26757040 40135560 80271120