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12077472 = 2531111437
BaseRepresentation
bin101110000100…
…100110100000
3211201121011210
4232010212200
511042434342
61110510120
7204441201
oct56044640
924647153
1012077472
1168a9a90
124065340
13266b344
1418655a8
1510d879c
hexb849a0

12077472 has 48 divisors (see below), whose sum is σ = 34588512. Its totient is φ = 3659520.

The previous prime is 12077467. The next prime is 12077473. The reversal of 12077472 is 27477021.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (12077473) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4663 + ... + 6774.

It is an arithmetic number, because the mean of its divisors is an integer number (720594).

Almost surely, 212077472 is an apocalyptic number.

12077472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12077472 is an abundant number, since it is smaller than the sum of its proper divisors (22511040).

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

12077472 is a wasteful number, since it uses less digits than its factorization.

12077472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11461 (or 11453 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 30.

The square root of 12077472 is about 3475.2657452345. The cubic root of 12077472 is about 229.4344770490.

The spelling of 12077472 in words is "twelve million, seventy-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 11437 22874 34311 45748 68622 91496 125807 137244 182992 251614 274488 365984 377421 503228 548976 754842 1006456 1097952 1509684 2012912 3019368 4025824 6038736 12077472