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127390848 = 273133151
BaseRepresentation
bin1111001011111…
…01010010000000
322212201010101120
413211331102000
5230103001343
620350232240
73104542614
oct745752200
9285633346
10127390848
11659aa6a2
12367b5680
1320514000
1412cc1344
15b2b5683
hex797d480

127390848 has 128 divisors (see below), whose sum is σ = 368995200. Its totient is φ = 38937600.

The previous prime is 127390847. The next prime is 127390849. The reversal of 127390848 is 848093721.

It is an interprime number because it is at equal distance from previous prime (127390847) and next prime (127390849).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127390841) 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, 843573 + ... + 843723.

It is an arithmetic number, because the mean of its divisors is an integer number (2882775).

Almost surely, 2127390848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127390848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184497600).

127390848 is an abundant number, since it is smaller than the sum of its proper divisors (241604352).

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

127390848 is an equidigital number, since it uses as much as digits as its factorization.

127390848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 127390848 is about 11286.7554239471. The cubic root of 127390848 is about 503.1676864777.

The spelling of 127390848 in words is "one hundred twenty-seven million, three hundred ninety thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 151 156 169 192 208 302 312 338 384 416 453 507 604 624 676 832 906 1014 1208 1248 1352 1664 1812 1963 2028 2197 2416 2496 2704 3624 3926 4056 4394 4832 4992 5408 5889 6591 7248 7852 8112 8788 9664 10816 11778 13182 14496 15704 16224 17576 19328 21632 23556 25519 26364 28992 31408 32448 35152 47112 51038 52728 57984 62816 64896 70304 76557 94224 102076 105456 125632 140608 153114 188448 204152 210912 251264 281216 306228 331747 376896 408304 421824 612456 663494 753792 816608 843648 995241 1224912 1326988 1633216 1990482 2449824 2653976 3266432 3980964 4899648 5307952 7961928 9799296 10615904 15923856 21231808 31847712 42463616 63695424 127390848