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128972410 = 2572263209
BaseRepresentation
bin1111010111111…
…11011001111010
322222200110212221
413223333121322
5231004104120
620444154254
73124150600
oct753773172
9288613787
10128972410
116688a976
123723898a
1320948b48
14131b3870
15b4c90aa
hex7aff67a

128972410 has 24 divisors (see below), whose sum is σ = 270053460. Its totient is φ = 44218944.

The previous prime is 128972359. The next prime is 128972419. The reversal of 128972410 is 14279821.

It can be written as a sum of positive squares in 2 ways, for example, as 121859521 + 7112889 = 11039^2 + 2667^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128972419) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131115 + ... + 132094.

Almost surely, 2128972410 is an apocalyptic number.

128972410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

128972410 is an abundant number, since it is smaller than the sum of its proper divisors (141081050).

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

128972410 is a wasteful number, since it uses less digits than its factorization.

128972410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263230 (or 263223 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 128972410 is about 11356.6020446258. The cubic root of 128972410 is about 505.2414099188.

The spelling of 128972410 in words is "one hundred twenty-eight million, nine hundred seventy-two thousand, four hundred ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 263209 526418 1316045 1842463 2632090 3684926 9212315 12897241 18424630 25794482 64486205 128972410