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145052016 = 24310329339
BaseRepresentation
bin10001010010101…
…01000101110000
3101002221101221220
420221111011300
5244113131031
622220545040
73410631114
oct1051250560
9332841856
10145052016
11749727aa
12406b2180
13240889c5
141539b744
15cb03596
hex8a55170

145052016 has 40 divisors (see below), whose sum is σ = 378368640. Its totient is φ = 47879616.

The previous prime is 145052009. The next prime is 145052021. The reversal of 145052016 is 610250541.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9726 + ... + 19613.

It is an arithmetic number, because the mean of its divisors is an integer number (9459216).

Almost surely, 2145052016 is an apocalyptic number.

145052016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145052016 is an abundant number, since it is smaller than the sum of its proper divisors (233316624).

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

145052016 is a wasteful number, since it uses less digits than its factorization.

145052016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29453 (or 29447 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 145052016 is about 12043.7542319660. The cubic root of 145052016 is about 525.4216005726.

The spelling of 145052016 in words is "one hundred forty-five million, fifty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 206 309 412 618 824 1236 1648 2472 4944 29339 58678 88017 117356 176034 234712 352068 469424 704136 1408272 3021917 6043834 9065751 12087668 18131502 24175336 36263004 48350672 72526008 145052016