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127044680 = 23573712263
BaseRepresentation
bin1111001001010…
…00110001001000
322212001112112112
413210220301020
5230010412210
620335001452
73101601440
oct744506110
9285045475
10127044680
1165793604
1236669288
1320422589
1412c31120
15b247d05
hex7928c48

127044680 has 64 divisors (see below), whose sum is σ = 335543040. Its totient is φ = 42377472.

The previous prime is 127044649. The next prime is 127044703. The reversal of 127044680 is 86440721.

It is a super-2 number, since 2×1270446802 = 32280701432604800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4229 + ... + 16491.

It is an arithmetic number, because the mean of its divisors is an integer number (5242860).

Almost surely, 2127044680 is an apocalyptic number.

127044680 is a gapful number since it is divisible by the number (10) 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 127044680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167771520).

127044680 is an abundant number, since it is smaller than the sum of its proper divisors (208498360).

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

127044680 is a wasteful number, since it uses less digits than its factorization.

127044680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12318 (or 12314 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 127044680 is about 11271.4098497038. The cubic root of 127044680 is about 502.7115088584.

The spelling of 127044680 in words is "one hundred twenty-seven million, forty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 74 140 148 185 259 280 296 370 518 740 1036 1295 1480 2072 2590 5180 10360 12263 24526 49052 61315 85841 98104 122630 171682 245260 343364 429205 453731 490520 686728 858410 907462 1716820 1814924 2268655 3176117 3433640 3629848 4537310 6352234 9074620 12704468 15880585 18149240 25408936 31761170 63522340 127044680