Search a number
-
+
127795120 = 2451793967
BaseRepresentation
bin1111001110111…
…11111110110000
322220110122221121
413213133332300
5230203420440
620403032024
73111145345
oct747377660
9286418847
10127795120
1166156402
123696b614
132062601b
1412d887cc
15b34534a
hex79dffb0

127795120 has 40 divisors (see below), whose sum is σ = 314604864. Its totient is φ = 48110592.

The previous prime is 127795117. The next prime is 127795127. The reversal of 127795120 is 21597721.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is not an unprimeable number, because it can be changed into a prime (127795127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45624 + ... + 48343.

Almost surely, 2127795120 is an apocalyptic number.

127795120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127795120 is an abundant number, since it is smaller than the sum of its proper divisors (186809744).

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

127795120 is a wasteful number, since it uses less digits than its factorization.

127795120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93997 (or 93991 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 34.

The square root of 127795120 is about 11304.6503705334. The cubic root of 127795120 is about 503.6993882165.

The spelling of 127795120 in words is "one hundred twenty-seven million, seven hundred ninety-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 93967 187934 375868 469835 751736 939670 1503472 1597439 1879340 3194878 3758680 6389756 7517360 7987195 12779512 15974390 25559024 31948780 63897560 127795120