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127080672 = 2533493793
BaseRepresentation
bin1111001001100…
…01100011100000
322212010100220120
413210301203200
5230013040142
620335440240
73102111405
oct744614340
9285110816
10127080672
1165808654
1236686080
1320435a84
1412c402ac
15b2537ec
hex79318e0

127080672 has 48 divisors (see below), whose sum is σ = 334630800. Its totient is φ = 42227712.

The previous prime is 127080671. The next prime is 127080673. The reversal of 127080672 is 276080721.

It is an interprime number because it is at equal distance from previous prime (127080671) and next prime (127080673).

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

It is a super-2 number, since 2×1270806722 = 32298994391943168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127080671) 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, 31608 + ... + 35400.

It is an arithmetic number, because the mean of its divisors is an integer number (6971475).

Almost surely, 2127080672 is an apocalyptic number.

127080672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

127080672 is an abundant number, since it is smaller than the sum of its proper divisors (207550128).

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

127080672 is a wasteful number, since it uses less digits than its factorization.

127080672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4155 (or 4147 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 127080672 is about 11273.0063425867. The cubic root of 127080672 is about 502.7589774189.

The spelling of 127080672 in words is "one hundred twenty-seven million, eighty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 349 698 1047 1396 2094 2792 3793 4188 5584 7586 8376 11168 11379 15172 16752 22758 30344 33504 45516 60688 91032 121376 182064 364128 1323757 2647514 3971271 5295028 7942542 10590056 15885084 21180112 31770168 42360224 63540336 127080672