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148040560 = 24513913313
BaseRepresentation
bin10001101001011…
…10101101110000
3101022120020110201
420310232231300
5300344244220
622405004544
73445216063
oct1064565560
9338506421
10148040560
1176624078
12416b3754
1324894085
14159388da
15cee3d0a
hex8d2eb70

148040560 has 40 divisors (see below), whose sum is σ = 346696560. Its totient is φ = 58785792.

The previous prime is 148040479. The next prime is 148040567. The reversal of 148040560 is 65040841.

148040560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×1480405603 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148040567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4464 + ... + 17776.

It is an arithmetic number, because the mean of its divisors is an integer number (8667414).

Almost surely, 2148040560 is an apocalyptic number.

148040560 is a gapful number since it is divisible by the number (10) 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 148040560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173348280).

148040560 is an abundant number, since it is smaller than the sum of its proper divisors (198656000).

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

148040560 is a wasteful number, since it uses less digits than its factorization.

148040560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13465 (or 13459 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 148040560 is about 12167.1919521309. The cubic root of 148040560 is about 529.0055638153.

The spelling of 148040560 in words is "one hundred forty-eight million, forty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 139 278 556 695 1112 1390 2224 2780 5560 11120 13313 26626 53252 66565 106504 133130 213008 266260 532520 1065040 1850507 3701014 7402028 9252535 14804056 18505070 29608112 37010140 74020280 148040560