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145681728 = 2633720507
BaseRepresentation
bin10001010111011…
…10110101000000
3101011010101202120
420223232311000
5244243303403
622242244240
73416163033
oct1053566500
9334111676
10145681728
1175262925
1240956680
132424950a
14154c301a
15cbc9e53
hex8aeed40

145681728 has 56 divisors (see below), whose sum is σ = 395886432. Its totient is φ = 47245824.

The previous prime is 145681727. The next prime is 145681763. The reversal of 145681728 is 827186541.

It is a self number, because there is not a number n which added to its sum of digits gives 145681728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145681727) 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 7 ways as a sum of consecutive naturals, for example, 3150 + ... + 17357.

Almost surely, 2145681728 is an apocalyptic number.

It is an amenable number.

145681728 is an abundant number, since it is smaller than the sum of its proper divisors (250204704).

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

145681728 is a wasteful number, since it uses less digits than its factorization.

145681728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20559 (or 20549 counting only the distinct ones).

The product of its digits is 107520, while the sum is 42.

The square root of 145681728 is about 12069.8685991190. The cubic root of 145681728 is about 526.1808377427.

The spelling of 145681728 in words is "one hundred forty-five million, six hundred eighty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 888 1184 1776 2368 3552 7104 20507 41014 61521 82028 123042 164056 246084 328112 492168 656224 758759 984336 1312448 1517518 1968672 2276277 3035036 3937344 4552554 6070072 9105108 12140144 18210216 24280288 36420432 48560576 72840864 145681728