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145887360 = 273575983
BaseRepresentation
bin10001011001000…
…01000010000000
3101011111211211120
420230201002000
5244321343420
622250512240
73421010403
oct1054410200
9334454746
10145887360
1175393373
1240a35680
13242bbca8
1415537d3a
15cc1ad40
hex8b21080

145887360 has 64 divisors (see below), whose sum is σ = 465022080. Its totient is φ = 38902784.

The previous prime is 145887283. The next prime is 145887397. The reversal of 145887360 is 63788541.

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

It is a hoax number, since the sum of its digits (42) 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36072 + ... + 39911.

It is an arithmetic number, because the mean of its divisors is an integer number (7265970).

Almost surely, 2145887360 is an apocalyptic number.

145887360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145887360 is an abundant number, since it is smaller than the sum of its proper divisors (319134720).

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

145887360 is an equidigital number, since it uses as much as digits as its factorization.

145887360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76005 (or 75993 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 145887360 is about 12078.3839978699. The cubic root of 145887360 is about 526.4282921327.

The spelling of 145887360 in words is "one hundred forty-five million, eight hundred eighty-seven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 75983 151966 227949 303932 379915 455898 607864 759830 911796 1139745 1215728 1519660 1823592 2279490 2431456 3039320 3647184 4558980 4862912 6078640 7294368 9117960 9725824 12157280 14588736 18235920 24314560 29177472 36471840 48629120 72943680 145887360