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145999080 = 23325405553
BaseRepresentation
bin10001011001111…
…00010011101000
3101011201112002100
420230330103220
5244333432310
622253133400
73421654203
oct1054742350
9334645070
10145999080
117545a2a7
1240a8a260
132432aab6
141556693a
15cc3dec0
hex8b3c4e8

145999080 has 48 divisors (see below), whose sum is σ = 474498180. Its totient is φ = 38932992.

The previous prime is 145999037. The next prime is 145999081. The reversal of 145999080 is 80999541.

It can be written as a sum of positive squares in 2 ways, for example, as 144144036 + 1855044 = 12006^2 + 1362^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (145999081) by changing a digit.

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, 202417 + ... + 203136.

Almost surely, 2145999080 is an apocalyptic number.

145999080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145999080 is an abundant number, since it is smaller than the sum of its proper divisors (328499100).

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

145999080 is a wasteful number, since it uses less digits than its factorization.

145999080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405570 (or 405563 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 145999080 is about 12083.0079036637. The cubic root of 145999080 is about 526.5626367905.

The spelling of 145999080 in words is "one hundred forty-five million, nine hundred ninety-nine thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 405553 811106 1216659 1622212 2027765 2433318 3244424 3649977 4055530 4866636 6083295 7299954 8111060 9733272 12166590 14599908 16222120 18249885 24333180 29199816 36499770 48666360 72999540 145999080