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148475040 = 2535744189
BaseRepresentation
bin10001101100110…
…00110010100000
3101100101022110120
420312120302200
5301002200130
622422200240
73452005560
oct1066306240
9340338416
10148475040
11768a054a
1241883080
13249b6a6c
1415a0cda0
15d07c910
hex8d98ca0

148475040 has 96 divisors (see below), whose sum is σ = 534522240. Its totient is φ = 33936384.

The previous prime is 148475029. The next prime is 148475053. The reversal of 148475040 is 40574841.

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

It is a junction number, because it is equal to n+sod(n) for n = 148474992 and 148475010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18735 + ... + 25454.

It is an arithmetic number, because the mean of its divisors is an integer number (5567940).

Almost surely, 2148475040 is an apocalyptic number.

148475040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

148475040 is an abundant number, since it is smaller than the sum of its proper divisors (386047200).

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

148475040 is a wasteful number, since it uses less digits than its factorization.

148475040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44214 (or 44206 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 148475040 is about 12185.0334427116. The cubic root of 148475040 is about 529.5225794464.

The spelling of 148475040 in words is "one hundred forty-eight million, four hundred seventy-five thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 44189 88378 132567 176756 220945 265134 309323 353512 441890 530268 618646 662835 707024 883780 927969 1060536 1237292 1325670 1414048 1546615 1767560 1855938 2121072 2474584 2651340 3093230 3535120 3711876 4242144 4639845 4949168 5302680 6186460 7070240 7423752 9279690 9898336 10605360 12372920 14847504 18559380 21210720 24745840 29695008 37118760 49491680 74237520 148475040