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148505840 = 2457509521
BaseRepresentation
bin10001101101000…
…00010011110000
3101100102212201022
420312200103300
5301004141330
622422555012
73452164430
oct1066402360
9340385638
10148505840
11769116aa
1241898a68
13249c7aa2
1415a1a2c0
15d086ae5
hex8da04f0

148505840 has 80 divisors (see below), whose sum is σ = 396135360. Its totient is φ = 50718720.

The previous prime is 148505837. The next prime is 148505849. The reversal of 148505840 is 48505841.

148505840 is digitally balanced in base 3, 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 148505840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148505849) by changing a digit.

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, 284780 + ... + 285300.

It is an arithmetic number, because the mean of its divisors is an integer number (4951692).

Almost surely, 2148505840 is an apocalyptic number.

148505840 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 148505840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198067680).

148505840 is an abundant number, since it is smaller than the sum of its proper divisors (247629520).

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

148505840 is a wasteful number, since it uses less digits than its factorization.

148505840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 35.

The square root of 148505840 is about 12186.2972227006. The cubic root of 148505840 is about 529.5591920376.

Subtracting from 148505840 its reverse (48505841), we obtain a palindrome (99999999).

The spelling of 148505840 in words is "one hundred forty-eight million, five hundred five thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 509 521 560 1018 1042 2036 2084 2545 2605 3563 3647 4072 4168 5090 5210 7126 7294 8144 8336 10180 10420 14252 14588 17815 18235 20360 20840 28504 29176 35630 36470 40720 41680 57008 58352 71260 72940 142520 145880 265189 285040 291760 530378 1060756 1325945 1856323 2121512 2651890 3712646 4243024 5303780 7425292 9281615 10607560 14850584 18563230 21215120 29701168 37126460 74252920 148505840