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127880896 = 26111389157
BaseRepresentation
bin1111001111101…
…00111011000000
322220122000121111
413213310323000
5230214142041
620404533104
73111653413
oct747647300
9286560544
10127880896
11662048a0
12369b1194
1320656090
1412dabb7a
15b360981
hex79f4ec0

127880896 has 112 divisors (see below), whose sum is σ = 303397920. Its totient is φ = 52715520.

The previous prime is 127880867. The next prime is 127880903. The reversal of 127880896 is 698088721.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 814450 + ... + 814606.

It is an arithmetic number, because the mean of its divisors is an integer number (2708910).

Almost surely, 2127880896 is an apocalyptic number.

127880896 is a gapful number since it is divisible by the number (16) 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 127880896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151698960).

127880896 is an abundant number, since it is smaller than the sum of its proper divisors (175517024).

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

127880896 is a wasteful number, since it uses less digits than its factorization.

127880896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 49.

The square root of 127880896 is about 11308.4435710667. The cubic root of 127880896 is about 503.8120572445.

The spelling of 127880896 in words is "one hundred twenty-seven million, eight hundred eighty thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 89 104 143 157 176 178 208 286 314 352 356 416 572 628 704 712 832 979 1144 1157 1256 1424 1727 1958 2041 2288 2314 2512 2848 3454 3916 4082 4576 4628 5024 5696 6908 7832 8164 9152 9256 10048 12727 13816 13973 15664 16328 18512 22451 25454 27632 27946 31328 32656 37024 44902 50908 55264 55892 62656 65312 74048 89804 101816 110528 111784 130624 153703 179608 181649 203632 223568 307406 359216 363298 407264 447136 614812 718432 726596 814528 894272 1229624 1436864 1453192 1998139 2459248 2906384 3996278 4918496 5812768 7992556 9836992 11625536 15985112 31970224 63940448 127880896