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12082576 = 24112792
BaseRepresentation
bin101110000101…
…110110010000
3211201212011211
4232011312100
511043120301
61110545504
7204462112
oct56056620
924655154
1012082576
116902900
124068294
13267076c
1418673b2
1510da051
hexb85d90

12082576 has 45 divisors (see below), whose sum is σ = 26061483. Its totient is φ = 5422560.

The previous prime is 12082573. The next prime is 12082627. The reversal of 12082576 is 67528021.

The square root of 12082576 is 3476.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12082573) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 152905 + ... + 152983.

Almost surely, 212082576 is an apocalyptic number.

12082576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12082576 is the 3476-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12082576

12082576 is an abundant number, since it is smaller than the sum of its proper divisors (13978907).

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

12082576 is an equidigital number, since it uses as much as digits as its factorization.

12082576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The cubic root of 12082576 is about 229.4667925493.

The spelling of 12082576 in words is "twelve million, eighty-two thousand, five hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 44 79 88 121 158 176 242 316 484 632 869 968 1264 1738 1936 3476 6241 6952 9559 12482 13904 19118 24964 38236 49928 68651 76472 99856 137302 152944 274604 549208 755161 1098416 1510322 3020644 6041288 12082576