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127702096 = 24173712689
BaseRepresentation
bin1111001110010…
…01010001010000
322220021221100021
413213021101100
5230142431341
620401033224
73110310214
oct747112120
9286257307
10127702096
11660a2525
1236925814
13205c2892
1412d62944
15b3279d1
hex79c9450

127702096 has 40 divisors (see below), whose sum is σ = 269078760. Its totient is φ = 58466304.

The previous prime is 127702093. The next prime is 127702103. The reversal of 127702096 is 690207721.

It can be written as a sum of positive squares in 4 ways, for example, as 34386496 + 93315600 = 5864^2 + 9660^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127702093) 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, 3720 + ... + 16408.

It is an arithmetic number, because the mean of its divisors is an integer number (6726969).

Almost surely, 2127702096 is an apocalyptic number.

127702096 is a gapful number since it is divisible by the number (16) 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 127702096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134539380).

127702096 is an abundant number, since it is smaller than the sum of its proper divisors (141376664).

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

127702096 is a wasteful number, since it uses less digits than its factorization.

127702096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12751 (or 12745 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 34.

The square root of 127702096 is about 11300.5352085642. The cubic root of 127702096 is about 503.5771417499.

The spelling of 127702096 in words is "one hundred twenty-seven million, seven hundred two thousand, ninety-six".

Divisors: 1 2 4 8 16 17 34 37 68 74 136 148 272 296 592 629 1258 2516 5032 10064 12689 25378 50756 101512 203024 215713 431426 469493 862852 938986 1725704 1877972 3451408 3755944 7511888 7981381 15962762 31925524 63851048 127702096