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128669280 = 25351811481
BaseRepresentation
bin1111010101101…
…01011001100000
322222010002001220
413222311121200
5230414404110
620433455040
73121446045
oct752653140
9288102056
10128669280
11666a3153
1237111480
1320870b8c
14131351cc
15b469370
hex7ab5660

128669280 has 96 divisors (see below), whose sum is σ = 407822688. Its totient is φ = 34099200.

The previous prime is 128669263. The next prime is 128669297. The reversal of 128669280 is 82966821.

It is an interprime number because it is at equal distance from previous prime (128669263) and next prime (128669297).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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, 86140 + ... + 87620.

It is an arithmetic number, because the mean of its divisors is an integer number (4248153).

Almost surely, 2128669280 is an apocalyptic number.

128669280 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 128669280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203911344).

128669280 is an abundant number, since it is smaller than the sum of its proper divisors (279153408).

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

128669280 is a wasteful number, since it uses less digits than its factorization.

128669280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 128669280 is about 11343.2482120423. The cubic root of 128669280 is about 504.8452684139.

The spelling of 128669280 in words is "one hundred twenty-eight million, six hundred sixty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 181 240 362 480 543 724 905 1086 1448 1481 1810 2172 2715 2896 2962 3620 4344 4443 5430 5792 5924 7240 7405 8688 8886 10860 11848 14480 14810 17376 17772 21720 22215 23696 28960 29620 35544 43440 44430 47392 59240 71088 86880 88860 118480 142176 177720 236960 268061 355440 536122 710880 804183 1072244 1340305 1608366 2144488 2680610 3216732 4020915 4288976 5361220 6433464 8041830 8577952 10722440 12866928 16083660 21444880 25733856 32167320 42889760 64334640 128669280