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145087272 = 233211183191
BaseRepresentation
bin10001010010111…
…01101100101000
3101010000012022200
420221131230220
5244120243042
622221420200
73411135651
oct1051355450
9333005280
10145087272
1174997240
124070a660
132409ba75
14153aa528
15cb0dc4c
hex8a5db28

145087272 has 48 divisors (see below), whose sum is σ = 428669280. Its totient is φ = 43965600.

The previous prime is 145087259. The next prime is 145087291. The reversal of 145087272 is 272780541.

145087272 is a `hidden beast` number, since 14 + 508 + 72 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 90804 + ... + 92387.

It is an arithmetic number, because the mean of its divisors is an integer number (8930610).

Almost surely, 2145087272 is an apocalyptic number.

145087272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145087272 is an abundant number, since it is smaller than the sum of its proper divisors (283582008).

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

145087272 is a wasteful number, since it uses less digits than its factorization.

145087272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183214 (or 183207 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 145087272 is about 12045.2178062499. The cubic root of 145087272 is about 525.4641663681.

The spelling of 145087272 in words is "one hundred forty-five million, eighty-seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 183191 366382 549573 732764 1099146 1465528 1648719 2015101 2198292 3297438 4030202 4396584 6045303 6594876 8060404 12090606 13189752 16120808 18135909 24181212 36271818 48362424 72543636 145087272