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12520080 = 2432517389
BaseRepresentation
bin101111110000…
…101010010000
3212120002022200
4233300222100
511201120310
61124203200
7211263456
oct57605220
925502280
1012520080
117081581
124239500
132794941
14193c9d6
1511749c0
hexbf0a90

12520080 has 60 divisors (see below), whose sum is σ = 42049020. Its totient is φ = 3338496.

The previous prime is 12520051. The next prime is 12520091. The reversal of 12520080 is 8002521.

It can be written as a sum of positive squares in 2 ways, for example, as 6230016 + 6290064 = 2496^2 + 2508^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 7975 + ... + 9414.

It is an arithmetic number, because the mean of its divisors is an integer number (700817).

Almost surely, 212520080 is an apocalyptic number.

12520080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12520080 is an abundant number, since it is smaller than the sum of its proper divisors (29528940).

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

12520080 is a wasteful number, since it uses less digits than its factorization.

12520080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17408 (or 17399 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 12520080 is about 3538.3725072411. The cubic root of 12520080 is about 232.2036460021.

The spelling of 12520080 in words is "twelve million, five hundred twenty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 17389 34778 52167 69556 86945 104334 139112 156501 173890 208668 260835 278224 313002 347780 417336 521670 626004 695560 782505 834672 1043340 1252008 1391120 1565010 2086680 2504016 3130020 4173360 6260040 12520080