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240248148 = 223717832027
BaseRepresentation
bin11100101000111…
…10010101010100
3121202001212111120
432110132111110
5443000420043
635501203540
75645034630
oct1624362524
9552055446
10240248148
11113682a98
12685605b0
133aa09a8a
1423c9bdc0
1516159983
hexe51e554

240248148 has 96 divisors (see below), whose sum is σ = 686859264. Its totient is φ = 63794688.

The previous prime is 240248147. The next prime is 240248153. The reversal of 240248148 is 841842042.

240248148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240248143) 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, 117511 + ... + 119537.

It is an arithmetic number, because the mean of its divisors is an integer number (7154784).

Almost surely, 2240248148 is an apocalyptic number.

240248148 is a gapful number since it is divisible by the number (28) 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 240248148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343429632).

240248148 is an abundant number, since it is smaller than the sum of its proper divisors (446611116).

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

240248148 is a wasteful number, since it uses less digits than its factorization.

240248148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2141 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The square root of 240248148 is about 15499.9402579494. The cubic root of 240248148 is about 621.6606089521.

The spelling of 240248148 in words is "two hundred forty million, two hundred forty-eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 83 84 102 119 166 204 238 249 332 357 476 498 581 714 996 1162 1411 1428 1743 2027 2324 2822 3486 4054 4233 5644 6081 6972 8108 8466 9877 12162 14189 16932 19754 24324 28378 29631 34459 39508 42567 56756 59262 68918 85134 103377 118524 137836 168241 170268 206754 241213 336482 413508 482426 504723 672964 723639 964852 1009446 1177687 1447278 2018892 2355374 2860097 2894556 3533061 4710748 5720194 7066122 8580291 11440388 14132244 17160582 20020679 34321164 40041358 60062037 80082716 120124074 240248148