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145510240 = 2557112809
BaseRepresentation
bin10001010110001…
…00111101100000
3101010210200112011
420223010331200
5244222311430
622234442304
73414550051
oct1053047540
9333720464
10145510240
1175155aa7
1240893394
13241b9445
141547a728
15cb9422a
hex8ac4f60

145510240 has 48 divisors (see below), whose sum is σ = 348636960. Its totient is φ = 57379840.

The previous prime is 145510231. The next prime is 145510247. The reversal of 145510240 is 42015541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145510247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4956 + ... + 17764.

It is an arithmetic number, because the mean of its divisors is an integer number (7263270).

Almost surely, 2145510240 is an apocalyptic number.

145510240 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 145510240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174318480).

145510240 is an abundant number, since it is smaller than the sum of its proper divisors (203126720).

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

145510240 is a wasteful number, since it uses less digits than its factorization.

145510240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12895 (or 12887 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 145510240 is about 12062.7625360031. The cubic root of 145510240 is about 525.9742935868.

Adding to 145510240 its reverse (42015541), we get a palindrome (187525781).

The spelling of 145510240 in words is "one hundred forty-five million, five hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 71 80 142 160 284 355 568 710 1136 1420 2272 2840 5680 11360 12809 25618 51236 64045 102472 128090 204944 256180 409888 512360 909439 1024720 1818878 2049440 3637756 4547195 7275512 9094390 14551024 18188780 29102048 36377560 72755120 145510240