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127881380 = 2251123127199
BaseRepresentation
bin1111001111101…
…01000010100100
322220122001021102
413213311002210
5230214201010
620404535232
73111655004
oct747650244
9286561242
10127881380
11662051a0
12369b1518
1320656373
1412dac004
15b360ba5
hex79f50a4

127881380 has 96 divisors (see below), whose sum is σ = 309657600. Its totient is φ = 43908480.

The previous prime is 127881373. The next prime is 127881389. The reversal of 127881380 is 83188721.

It is not an unprimeable number, because it can be changed into a prime (127881389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 642521 + ... + 642719.

It is an arithmetic number, because the mean of its divisors is an integer number (3225600).

Almost surely, 2127881380 is an apocalyptic number.

127881380 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 127881380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154828800).

127881380 is an abundant number, since it is smaller than the sum of its proper divisors (181776220).

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

127881380 is a wasteful number, since it uses less digits than its factorization.

127881380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 38.

The square root of 127881380 is about 11308.4649709852. The cubic root of 127881380 is about 503.8126928482.

The spelling of 127881380 in words is "one hundred twenty-seven million, eight hundred eighty-one thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 127 199 220 230 253 254 398 460 506 508 635 796 995 1012 1265 1270 1397 1990 2189 2530 2540 2794 2921 3980 4378 4577 5060 5588 5842 6985 8756 9154 10945 11684 13970 14605 18308 21890 22885 25273 27940 29210 32131 43780 45770 50347 50546 58420 64262 91540 100694 101092 126365 128524 160655 201388 251735 252730 278003 321310 503470 505460 556006 581279 642620 1006940 1112012 1162558 1390015 2325116 2780030 2906395 5560060 5812790 6394069 11625580 12788138 25576276 31970345 63940690 127881380