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145452240 = 2433567339
BaseRepresentation
bin10001010101101…
…10110011010000
3101010200201222000
420222312303100
5244213432430
622233314000
73414216003
oct1052666320
9333621860
10145452240
117511646a
1240865900
1324198c1b
141546353a
15cb81e60
hex8ab6cd0

145452240 has 80 divisors (see below), whose sum is σ = 501009600. Its totient is φ = 38786688.

The previous prime is 145452149. The next prime is 145452247. The reversal of 145452240 is 42254541.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145452247) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 31510 + ... + 35829.

It is an arithmetic number, because the mean of its divisors is an integer number (6262620).

Almost surely, 2145452240 is an apocalyptic number.

145452240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145452240 is an abundant number, since it is smaller than the sum of its proper divisors (355557360).

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

145452240 is a wasteful number, since it uses less digits than its factorization.

145452240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67361 (or 67349 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 145452240 is about 12060.3582036356. The cubic root of 145452240 is about 525.9044003083.

The spelling of 145452240 in words is "one hundred forty-five million, four hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 67339 134678 202017 269356 336695 404034 538712 606051 673390 808068 1010085 1077424 1212102 1346780 1616136 1818153 2020170 2424204 2693560 3030255 3232272 3636306 4040340 4848408 5387120 6060510 7272612 8080680 9090765 9696816 12121020 14545224 16161360 18181530 24242040 29090448 36363060 48484080 72726120 145452240