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127796116 = 22721574153
BaseRepresentation
bin1111001111000…
…00001110010100
322220110201022111
413213200032110
5230203433431
620403040404
73111151300
oct747401624
9286421274
10127796116
1166157128
1236970104
1320626606
1412d88d00
15b3457b1
hex79e0394

127796116 has 36 divisors (see below), whose sum is σ = 261876468. Its totient is φ = 54407808.

The previous prime is 127796111. The next prime is 127796131. The reversal of 127796116 is 611697721.

It can be written as a sum of positive squares in 2 ways, for example, as 14288400 + 113507716 = 3780^2 + 10654^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127796111) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 28696 + ... + 32848.

Almost surely, 2127796116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127796116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130938234).

127796116 is an abundant number, since it is smaller than the sum of its proper divisors (134080352).

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

127796116 is a wasteful number, since it uses less digits than its factorization.

127796116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4328 (or 4319 counting only the distinct ones).

The product of its digits is 31752, while the sum is 40.

The square root of 127796116 is about 11304.6944231147. The cubic root of 127796116 is about 503.7006967779.

The spelling of 127796116 in words is "one hundred twenty-seven million, seven hundred ninety-six thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 49 98 157 196 314 628 1099 2198 4153 4396 7693 8306 15386 16612 29071 30772 58142 116284 203497 406994 652021 813988 1304042 2608084 4564147 9128294 18256588 31949029 63898058 127796116