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145210240 = 275732413
BaseRepresentation
bin10001010011110…
…11101110000000
3101010020110000001
420221323232000
5244133211430
622224205344
73412160320
oct1051735600
9333213001
10145210240
1174a7066a
1240769854
1324112a26
14153dd280
15cb353ca
hex8a7bb80

145210240 has 64 divisors (see below), whose sum is σ = 396747360. Its totient is φ = 49784832.

The previous prime is 145210223. The next prime is 145210249. The reversal of 145210240 is 42012541.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145210249) 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 7 ways as a sum of consecutive naturals, for example, 11727 + ... + 20686.

Almost surely, 2145210240 is an apocalyptic number.

145210240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145210240 is an abundant number, since it is smaller than the sum of its proper divisors (251537120).

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

145210240 is an equidigital number, since it uses as much as digits as its factorization.

145210240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32439 (or 32427 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 145210240 is about 12050.3211575460. The cubic root of 145210240 is about 525.6125759667.

Adding to 145210240 its reverse (42012541), we get a palindrome (187222781).

The spelling of 145210240 in words is "one hundred forty-five million, two hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 32413 64826 129652 162065 226891 259304 324130 453782 518608 648260 907564 1037216 1134455 1296520 1815128 2074432 2268910 2593040 3630256 4148864 4537820 5186080 7260512 9075640 10372160 14521024 18151280 20744320 29042048 36302560 72605120 145210240