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145083240 = 233251921211
BaseRepresentation
bin10001010010111…
…00101101101000
3101002222222210100
420221130231220
5244120130430
622221345400
73411121131
oct1051345550
9332888710
10145083240
1174994205
1240708260
1324099c93
14153a8c88
15cb0c960
hex8a5cb68

145083240 has 96 divisors (see below), whose sum is σ = 496360800. Its totient is φ = 36650880.

The previous prime is 145083233. The next prime is 145083283. The reversal of 145083240 is 42380541.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 3766 + ... + 17445.

It is an arithmetic number, because the mean of its divisors is an integer number (5170425).

Almost surely, 2145083240 is an apocalyptic number.

145083240 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 145083240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248180400).

145083240 is an abundant number, since it is smaller than the sum of its proper divisors (351277560).

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

145083240 is a wasteful number, since it uses less digits than its factorization.

145083240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21247 (or 21240 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 145083240 is about 12045.0504357599. The cubic root of 145083240 is about 525.4592987434.

The spelling of 145083240 in words is "one hundred forty-five million, eighty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 21211 42422 63633 84844 106055 127266 169688 190899 212110 254532 318165 381798 403009 424220 509064 636330 763596 806018 848440 954495 1209027 1272660 1527192 1612036 1908990 2015045 2418054 2545320 3224072 3627081 3817980 4030090 4836108 6045135 7254162 7635960 8060180 9672216 12090270 14508324 16120360 18135405 24180540 29016648 36270810 48361080 72541620 145083240