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148710240 = 25325714753
BaseRepresentation
bin10001101110100…
…10001101100000
3101100211021002200
420313102031200
5301032211430
622431213200
73454005360
oct1067221540
9340737080
10148710240
1176a41228
1241977200
1324a69b33
1415a709a0
15d0c7460
hex8dd2360

148710240 has 144 divisors (see below), whose sum is σ = 580009248. Its totient is φ = 33988608.

The previous prime is 148710217. The next prime is 148710241. The reversal of 148710240 is 42017841.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1487102402 = 44229470961715200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148710241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2704 + ... + 17456.

It is an arithmetic number, because the mean of its divisors is an integer number (4027842).

Almost surely, 2148710240 is an apocalyptic number.

148710240 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 148710240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290004624).

148710240 is an abundant number, since it is smaller than the sum of its proper divisors (431299008).

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

148710240 is a wasteful number, since it uses less digits than its factorization.

148710240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14781 (or 14770 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 148710240 is about 12194.6808076308. The cubic root of 148710240 is about 529.8020383262.

The spelling of 148710240 in words is "one hundred forty-eight million, seven hundred ten thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 14753 29506 44259 59012 73765 88518 103271 118024 132777 147530 177036 206542 221295 236048 265554 295060 309813 354072 413084 442590 472096 516355 531108 590120 619626 663885 708144 826168 885180 929439 1032710 1062216 1180240 1239252 1327770 1416288 1549065 1652336 1770360 1858878 2065420 2124432 2360480 2478504 2655540 3098130 3304672 3540720 3717756 4130840 4248864 4647195 4957008 5311080 6196260 7081440 7435512 8261680 9294390 9914016 10622160 12392520 14871024 16523360 18588780 21244320 24785040 29742048 37177560 49570080 74355120 148710240