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148017540 = 2235111371637
BaseRepresentation
bin10001101001010…
…01000110000100
3101022112001220010
420310221012010
5300343030130
622404310220
73445062006
oct1064510604
9338461803
10148017540
1176608850
12416a2370
1324886758
1415930376
15cedc0b0
hex8d29184

148017540 has 96 divisors (see below), whose sum is σ = 455704704. Its totient is φ = 35599360.

The previous prime is 148017517. The next prime is 148017547. The reversal of 148017540 is 45710841.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 148017498 and 148017507.

It is not an unprimeable number, because it can be changed into a prime (148017547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89602 + ... + 91238.

It is an arithmetic number, because the mean of its divisors is an integer number (4746924).

Almost surely, 2148017540 is an apocalyptic number.

148017540 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 148017540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227852352).

148017540 is an abundant number, since it is smaller than the sum of its proper divisors (307687164).

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

148017540 is a wasteful number, since it uses less digits than its factorization.

148017540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 148017540 is about 12166.2459287983. The cubic root of 148017540 is about 528.9781426379.

The spelling of 148017540 in words is "one hundred forty-eight million, seventeen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 137 165 220 274 330 411 548 660 685 822 1370 1507 1637 1644 2055 2740 3014 3274 4110 4521 4911 6028 6548 7535 8185 8220 9042 9822 15070 16370 18007 18084 19644 22605 24555 30140 32740 36014 45210 49110 54021 72028 90035 90420 98220 108042 180070 216084 224269 270105 360140 448538 540210 672807 897076 1080420 1121345 1345614 2242690 2466959 2691228 3364035 4485380 4933918 6728070 7400877 9867836 12334795 13456140 14801754 24669590 29603508 37004385 49339180 74008770 148017540