Search a number
-
+
127018864 = 2471676791
BaseRepresentation
bin1111001001000…
…10011101110000
322212000020010101
413210202131300
5230004100424
620334242144
73101433250
oct744423560
9285006111
10127018864
1165776175
1236656354
13204138bb
1412c25960
15b240344
hex7922770

127018864 has 40 divisors (see below), whose sum is σ = 282981888. Its totient is φ = 54102720.

The previous prime is 127018823. The next prime is 127018889. The reversal of 127018864 is 468810721.

It is a super-2 number, since 2×1270188642 = 32267583623700992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15309 + ... + 22099.

Almost surely, 2127018864 is an apocalyptic number.

127018864 is a gapful number since it is divisible by the number (14) 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 127018864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141490944).

127018864 is an abundant number, since it is smaller than the sum of its proper divisors (155963024).

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

127018864 is a wasteful number, since it uses less digits than its factorization.

127018864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6973 (or 6967 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 127018864 is about 11270.2645931673. The cubic root of 127018864 is about 502.6774555383.

The spelling of 127018864 in words is "one hundred twenty-seven million, eighteen thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 167 334 668 1169 1336 2338 2672 4676 6791 9352 13582 18704 27164 47537 54328 95074 108656 190148 380296 760592 1134097 2268194 4536388 7938679 9072776 15877358 18145552 31754716 63509432 127018864