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127000000 = 2656127
BaseRepresentation
bin1111001000111…
…01110111000000
322211222021020201
413210131313000
5230003000000
620334014544
73101324251
oct744356700
9284867221
10127000000
1165762a86
1236647454
132040813a
1412c1cb28
15b23996a
hex791ddc0

127000000 has 98 divisors (see below), whose sum is σ = 317495936. Its totient is φ = 50400000.

The previous prime is 126999967. The next prime is 127000007. The reversal of 127000000 is 721.

It is a super-2 number, since 2×1270000002 = 32258000000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127000007) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 999937 + ... + 1000063.

Almost surely, 2127000000 is an apocalyptic number.

127000000 is a gapful number since it is divisible by the number (10) 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 127000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158747968).

127000000 is an abundant number, since it is smaller than the sum of its proper divisors (190495936).

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

127000000 is an frugal number, since it uses more digits than its factorization.

127000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 10.

The square root of 127000000 is about 11269.4276695846. The cubic root of 127000000 is about 502.6525695313.

Adding to 127000000 its reverse (721), we get a palindrome (127000721).

The spelling of 127000000 in words is "one hundred twenty-seven million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 127 160 200 250 254 320 400 500 508 625 635 800 1000 1016 1250 1270 1600 2000 2032 2500 2540 3125 3175 4000 4064 5000 5080 6250 6350 8000 8128 10000 10160 12500 12700 15625 15875 20000 20320 25000 25400 31250 31750 40000 40640 50000 50800 62500 63500 79375 100000 101600 125000 127000 158750 200000 203200 250000 254000 317500 396875 500000 508000 635000 793750 1000000 1016000 1270000 1587500 1984375 2540000 3175000 3968750 5080000 6350000 7937500 12700000 15875000 25400000 31750000 63500000 127000000