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145251360 = 2533533623
BaseRepresentation
bin10001010100001…
…01110000100000
3101010022112102000
420222011300200
5244141020420
622225124000
73412421232
oct1052056040
9333275360
10145251360
1174a99551
1240789600
1324128667
1415410252
15cb42690
hex8a85c20

145251360 has 96 divisors (see below), whose sum is σ = 508394880. Its totient is φ = 38732544.

The previous prime is 145251313. The next prime is 145251367. The reversal of 145251360 is 63152541.

145251360 is a `hidden beast` number, since 1 + 4 + 525 + 136 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (145251367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12492 + ... + 21131.

It is an arithmetic number, because the mean of its divisors is an integer number (5295780).

Almost surely, 2145251360 is an apocalyptic number.

145251360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145251360 is an abundant number, since it is smaller than the sum of its proper divisors (363143520).

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

145251360 is a wasteful number, since it uses less digits than its factorization.

145251360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33647 (or 33633 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 145251360 is about 12052.0272153692. The cubic root of 145251360 is about 525.6621848403.

The spelling of 145251360 in words is "one hundred forty-five million, two hundred fifty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 33623 67246 100869 134492 168115 201738 268984 302607 336230 403476 504345 537968 605214 672460 806952 907821 1008690 1075936 1210428 1344920 1513035 1613904 1815642 2017380 2420856 2689840 3026070 3227808 3631284 4034760 4539105 4841712 5379680 6052140 7262568 8069520 9078210 9683424 12104280 14525136 16139040 18156420 24208560 29050272 36312840 48417120 72625680 145251360