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128373072 = 24367179223
BaseRepresentation
bin1111010011011…
…01000101010000
322221120000202020
413221231011100
5230330414242
620423251440
73116103342
oct751550520
9287500666
10128373072
1166510653
1236ba9b80
13207990c9
1413099292
15b40b6ec
hex7a6d150

128373072 has 80 divisors (see below), whose sum is σ = 339978240. Its totient is φ = 41728896.

The previous prime is 128373071. The next prime is 128373083. The reversal of 128373072 is 270373821.

It is a super-2 number, since 2×1283730722 = 32959291229434368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128373071) 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, 575553 + ... + 575775.

It is an arithmetic number, because the mean of its divisors is an integer number (4249728).

Almost surely, 2128373072 is an apocalyptic number.

128373072 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 128373072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169989120).

128373072 is an abundant number, since it is smaller than the sum of its proper divisors (211605168).

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

128373072 is a wasteful number, since it uses less digits than its factorization.

128373072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 128373072 is about 11330.1841114785. The cubic root of 128373072 is about 504.4575713530.

The spelling of 128373072 in words is "one hundred twenty-eight million, three hundred seventy-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 179 201 223 268 358 402 446 536 537 669 716 804 892 1072 1074 1338 1432 1608 1784 2148 2676 2864 3216 3568 4296 5352 8592 10704 11993 14941 23986 29882 35979 39917 44823 47972 59764 71958 79834 89646 95944 119528 119751 143916 159668 179292 191888 239056 239502 287832 319336 358584 479004 575664 638672 717168 958008 1916016 2674439 5348878 8023317 10697756 16046634 21395512 32093268 42791024 64186536 128373072