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128403072 = 2732715923
BaseRepresentation
bin1111010011101…
…00011010000000
322221121112220100
413221310122000
5230332344242
620424042400
73116256660
oct751643200
9287545810
10128403072
1166531146
1237003400
13207a9965
14130a61a0
15b41554c
hex7a74680

128403072 has 96 divisors (see below), whose sum is σ = 422304480. Its totient is φ = 36684288.

The previous prime is 128402999. The next prime is 128403133. The reversal of 128403072 is 270304821.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103 + ... + 16025.

It is an arithmetic number, because the mean of its divisors is an integer number (4399005).

Almost surely, 2128403072 is an apocalyptic number.

128403072 is a gapful number since it is divisible by the number (12) 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 128403072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211152240).

128403072 is an abundant number, since it is smaller than the sum of its proper divisors (293901408).

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

128403072 is a wasteful number, since it uses less digits than its factorization.

128403072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15950 (or 15935 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 128403072 is about 11331.5079314273. The cubic root of 128403072 is about 504.4968645064.

Adding to 128403072 its reverse (270304821), we get a palindrome (398707893).

The spelling of 128403072 in words is "one hundred twenty-eight million, four hundred three thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 15923 31846 47769 63692 95538 111461 127384 143307 191076 222922 254768 286614 334383 382152 445844 509536 573228 668766 764304 891688 1003149 1019072 1146456 1337532 1528608 1783376 2006298 2038144 2292912 2675064 3057216 3566752 4012596 4585824 5350128 6114432 7133504 8025192 9171648 10700256 14267008 16050384 18343296 21400512 32100768 42801024 64201536 128403072