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120804672 = 2632692339
BaseRepresentation
bin1110011001101…
…01010101000000
322102022111212010
413030311111000
5221411222142
615553132520
72664552132
oct714652500
9272274763
10120804672
116221137a
123455a140
131c049271
1412089052
15a913e9c
hex7335540

120804672 has 56 divisors (see below), whose sum is σ = 320954400. Its totient is φ = 40101376.

The previous prime is 120804653. The next prime is 120804709. The reversal of 120804672 is 276408021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50479 + ... + 52817.

Almost surely, 2120804672 is an apocalyptic number.

120804672 is a gapful number since it is divisible by the number (12) 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 120804672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160477200).

120804672 is an abundant number, since it is smaller than the sum of its proper divisors (200149728).

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

120804672 is a wasteful number, since it uses less digits than its factorization.

120804672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2623 (or 2613 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 120804672 is about 10991.1178685337. The cubic root of 120804672 is about 494.3424551535.

The spelling of 120804672 in words is "one hundred twenty million, eight hundred four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 269 538 807 1076 1614 2152 2339 3228 4304 4678 6456 7017 8608 9356 12912 14034 17216 18712 25824 28068 37424 51648 56136 74848 112272 149696 224544 449088 629191 1258382 1887573 2516764 3775146 5033528 7550292 10067056 15100584 20134112 30201168 40268224 60402336 120804672