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127431220 = 22572931387
BaseRepresentation
bin1111001100001…
…11001000110100
322212210011202211
413212013020310
5230110244340
620351143204
73105101410
oct746071064
9285704684
10127431220
1165a27a64
1236814b04
13205294b7
1412cd1d40
15b2c25ea
hex7987234

127431220 has 48 divisors (see below), whose sum is σ = 316391040. Its totient is φ = 42182784.

The previous prime is 127431163. The next prime is 127431229. The reversal of 127431220 is 22134721.

It is a junction number, because it is equal to n+sod(n) for n = 127431191 and 127431200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127431229) 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 15 ways as a sum of consecutive naturals, for example, 11634 + ... + 19753.

It is an arithmetic number, because the mean of its divisors is an integer number (6591480).

Almost surely, 2127431220 is an apocalyptic number.

127431220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127431220 is an abundant number, since it is smaller than the sum of its proper divisors (188959820).

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

127431220 is a wasteful number, since it uses less digits than its factorization.

127431220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31432 (or 31430 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 127431220 is about 11288.5437501921. The cubic root of 127431220 is about 503.2208345664.

Adding to 127431220 its reverse (22134721), we get a palindrome (149565941).

The spelling of 127431220 in words is "one hundred twenty-seven million, four hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 1015 2030 4060 31387 62774 125548 156935 219709 313870 439418 627740 878836 910223 1098545 1820446 2197090 3640892 4394180 4551115 6371561 9102230 12743122 18204460 25486244 31857805 63715610 127431220