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127428678 = 232131314157
BaseRepresentation
bin1111001100001…
…10100001000110
322212210001021200
413212012201012
5230110204203
620351123330
73105061116
oct746064106
9285701250
10127428678
1165a26063
1236813546
13205282b0
1412cd1046
15b2c19a3
hex7986846

127428678 has 48 divisors (see below), whose sum is σ = 299675376. Its totient is φ = 38900160.

The previous prime is 127428677. The next prime is 127428713. The reversal of 127428678 is 876824721.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127428677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28576 + ... + 32732.

It is an arithmetic number, because the mean of its divisors is an integer number (6243237).

Almost surely, 2127428678 is an apocalyptic number.

127428678 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 127428678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149837688).

127428678 is an abundant number, since it is smaller than the sum of its proper divisors (172246698).

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

127428678 is a wasteful number, since it uses less digits than its factorization.

127428678 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4309 (or 4306 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 127428678 is about 11288.4311576056. The cubic root of 127428678 is about 503.2174884585.

The spelling of 127428678 in words is "one hundred twenty-seven million, four hundred twenty-eight thousand, six hundred seventy-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 131 234 262 393 786 1179 1703 2358 3406 4157 5109 8314 10218 12471 15327 24942 30654 37413 54041 74826 108082 162123 324246 486369 544567 972738 1089134 1633701 3267402 4901103 7079371 9802206 14158742 21238113 42476226 63714339 127428678