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148528080 = 2434522921
BaseRepresentation
bin10001101101001…
…01101111010000
3101100111000020000
420312211233100
5301010344310
622423250000
73452316321
oct1066455720
9340430200
10148528080
1176927388
12418a9900
1324a04c4c
1415a24448
15d08d4c0
hex8da5bd0

148528080 has 100 divisors (see below), whose sum is σ = 515882532. Its totient is φ = 39605760.

The previous prime is 148528069. The next prime is 148528097. The reversal of 148528080 is 80825841.

148528080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 61591104 + 86936976 = 7848^2 + 9324^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4981 + ... + 17940.

Almost surely, 2148528080 is an apocalyptic number.

148528080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

148528080 is an abundant number, since it is smaller than the sum of its proper divisors (367354452).

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

148528080 is a wasteful number, since it uses less digits than its factorization.

148528080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22946 (or 22931 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 148528080 is about 12187.2096888500. The cubic root of 148528080 is about 529.5856260341.

The spelling of 148528080 in words is "one hundred forty-eight million, five hundred twenty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 22921 45842 68763 91684 114605 137526 183368 206289 229210 275052 343815 366736 412578 458420 550104 618867 687630 825156 916840 1031445 1100208 1237734 1375260 1650312 1833680 1856601 2062890 2475468 2750520 3094335 3300624 3713202 4125780 4950936 5501040 6188670 7426404 8251560 9283005 9901872 12377340 14852808 16503120 18566010 24754680 29705616 37132020 49509360 74264040 148528080