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145152240 = 2435604801
BaseRepresentation
bin10001010011011…
…01100011110000
3101010010111102220
420221231203300
5244124332430
622223041040
73411526242
oct1051554360
9333114386
10145152240
1174a31032
1240740180
13240c24cc
14153c6092
15cb23110
hex8a6d8f0

145152240 has 40 divisors (see below), whose sum is σ = 449972688. Its totient is φ = 38707200.

The previous prime is 145152193. The next prime is 145152263. The reversal of 145152240 is 42251541.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 145152240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 302161 + ... + 302640.

Almost surely, 2145152240 is an apocalyptic number.

145152240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145152240 is an abundant number, since it is smaller than the sum of its proper divisors (304820448).

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

145152240 is a wasteful number, since it uses less digits than its factorization.

145152240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604817 (or 604811 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 145152240 is about 12047.9143423250. The cubic root of 145152240 is about 525.5425864371.

The spelling of 145152240 in words is "one hundred forty-five million, one hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 604801 1209602 1814403 2419204 3024005 3628806 4838408 6048010 7257612 9072015 9676816 12096020 14515224 18144030 24192040 29030448 36288060 48384080 72576120 145152240