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148006800 = 24325241113
BaseRepresentation
bin10001101001001…
…10011110010000
3101022111112011100
420310212132100
5300342204200
622404144400
73445015464
oct1064463620
9338445140
10148006800
1176600777
1241698100
13248818b6
141592a4a4
15ced8d00
hex8d26790

148006800 has 90 divisors (see below), whose sum is σ = 513637202. Its totient is φ = 39467520.

The previous prime is 148006799. The next prime is 148006829. The reversal of 148006800 is 8600841.

It can be written as a sum of positive squares in 3 ways, for example, as 22924944 + 125081856 = 4788^2 + 11184^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16957 + ... + 24156.

Almost surely, 2148006800 is an apocalyptic number.

148006800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

148006800 is an abundant number, since it is smaller than the sum of its proper divisors (365630402).

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

148006800 is a wasteful number, since it uses less digits than its factorization.

148006800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41137 (or 41123 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 148006800 is about 12165.8045356647. The cubic root of 148006800 is about 528.9653482924.

The spelling of 148006800 in words is "one hundred forty-eight million, six thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 41113 82226 123339 164452 205565 246678 328904 370017 411130 493356 616695 657808 740034 822260 986712 1027825 1233390 1480068 1644520 1850085 1973424 2055650 2466780 2960136 3083475 3289040 3700170 4111300 4933560 5920272 6166950 7400340 8222600 9250425 9867120 12333900 14800680 16445200 18500850 24667800 29601360 37001700 49335600 74003400 148006800