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128039280 = 24354711351
BaseRepresentation
bin1111010000110…
…11100101110000
322220221001212120
413220123211300
5230234224110
620412154240
73113213235
oct750334560
9286831776
10128039280
1166302896
1236a68980
13206b01b5
141300d78c
15b392870
hex7a1b970

128039280 has 80 divisors (see below), whose sum is σ = 405402624. Its totient is φ = 33414400.

The previous prime is 128039279. The next prime is 128039281. The reversal of 128039280 is 82930821.

It is an interprime number because it is at equal distance from previous prime (128039279) and next prime (128039281).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128039281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5605 + ... + 16955.

Almost surely, 2128039280 is an apocalyptic number.

128039280 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 128039280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202701312).

128039280 is an abundant number, since it is smaller than the sum of its proper divisors (277363344).

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

128039280 is a wasteful number, since it uses less digits than its factorization.

128039280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11414 (or 11408 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 128039280 is about 11315.4443129733. Note that the first 3 decimals coincide. The cubic root of 128039280 is about 504.0199664552.

The spelling of 128039280 in words is "one hundred twenty-eight million, thirty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 705 752 940 1128 1410 1880 2256 2820 3760 5640 11280 11351 22702 34053 45404 56755 68106 90808 113510 136212 170265 181616 227020 272424 340530 454040 533497 544848 681060 908080 1066994 1362120 1600491 2133988 2667485 2724240 3200982 4267976 5334970 6401964 8002455 8535952 10669940 12803928 16004910 21339880 25607856 32009820 42679760 64019640 128039280