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145448240 = 24571791451
BaseRepresentation
bin10001010101101…
…01110100110000
3101010200112110212
420222311310300
5244213320430
622233243252
73414201230
oct1052656460
9333615425
10145448240
1175113463
1240863528
1324197162
1415461cc0
15cb80b95
hex8ab5d30

145448240 has 80 divisors (see below), whose sum is σ = 388903680. Its totient is φ = 49555200.

The previous prime is 145448239. The next prime is 145448263. The reversal of 145448240 is 42844541.

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

It is a junction number, because it is equal to n+sod(n) for n = 145448197 and 145448206.

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 15 ways as a sum of consecutive naturals, for example, 99515 + ... + 100965.

It is an arithmetic number, because the mean of its divisors is an integer number (4861296).

Almost surely, 2145448240 is an apocalyptic number.

145448240 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 145448240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194451840).

145448240 is an abundant number, since it is smaller than the sum of its proper divisors (243455440).

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

145448240 is a wasteful number, since it uses less digits than its factorization.

145448240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 32.

The square root of 145448240 is about 12060.1923699417. The cubic root of 145448240 is about 525.8995793973.

It can be divided in two parts, 1454 and 48240, that added together give a palindrome (49694).

The spelling of 145448240 in words is "one hundred forty-five million, four hundred forty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 179 280 358 560 716 895 1253 1432 1451 1790 2506 2864 2902 3580 5012 5804 6265 7160 7255 10024 10157 11608 12530 14320 14510 20048 20314 23216 25060 29020 40628 50120 50785 58040 81256 100240 101570 116080 162512 203140 259729 406280 519458 812560 1038916 1298645 1818103 2077832 2597290 3636206 4155664 5194580 7272412 9090515 10389160 14544824 18181030 20778320 29089648 36362060 72724120 145448240