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148564240 = 24511792137
BaseRepresentation
bin10001101101011…
…10100100010000
3101100112211211021
420312232210100
5301013023430
622424125224
73452526616
oct1066564420
9340484737
10148564240
1176951570
1241906814
1324a18546
1415a336b6
15d09907a
hex8dae910

148564240 has 80 divisors (see below), whose sum is σ = 381761280. Its totient is φ = 53314560.

The previous prime is 148564237. The next prime is 148564243. The reversal of 148564240 is 42465841.

It is an interprime number because it is at equal distance from previous prime (148564237) and next prime (148564243).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 148564196 and 148564205.

It is not an unprimeable number, because it can be changed into a prime (148564243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68452 + ... + 70588.

It is an arithmetic number, because the mean of its divisors is an integer number (4772016).

Almost surely, 2148564240 is an apocalyptic number.

148564240 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 148564240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190880640).

148564240 is an abundant number, since it is smaller than the sum of its proper divisors (233197040).

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

148564240 is a wasteful number, since it uses less digits than its factorization.

148564240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2240 (or 2234 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 148564240 is about 12188.6931210856. The cubic root of 148564240 is about 529.6285994176.

The spelling of 148564240 in words is "one hundred forty-eight million, five hundred sixty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 79 80 88 110 158 176 220 316 395 440 632 790 869 880 1264 1580 1738 2137 3160 3476 4274 4345 6320 6952 8548 8690 10685 13904 17096 17380 21370 23507 34192 34760 42740 47014 69520 85480 94028 117535 168823 170960 188056 235070 337646 376112 470140 675292 844115 940280 1350584 1688230 1857053 1880560 2701168 3376460 3714106 6752920 7428212 9285265 13505840 14856424 18570530 29712848 37141060 74282120 148564240