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145466920 = 23513032791
BaseRepresentation
bin10001010101110…
…10011000101000
3101010201111002201
420222322120220
5244214420140
622233505544
73414306544
oct1052723050
9333644081
10145466920
11751264a5
12408722b4
13241a2801
1415468a24
15cb8649a
hex8aba628

145466920 has 32 divisors (see below), whose sum is σ = 327669120. Its totient is φ = 58121280.

The previous prime is 145466917. The next prime is 145466921. The reversal of 145466920 is 29664541.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 145466920.

It is not an unprimeable number, because it can be changed into a prime (145466921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50725 + ... + 53515.

It is an arithmetic number, because the mean of its divisors is an integer number (10239660).

Almost surely, 2145466920 is an apocalyptic number.

145466920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145466920 is an abundant number, since it is smaller than the sum of its proper divisors (182202200).

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

145466920 is a wasteful number, since it uses less digits than its factorization.

145466920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4105 (or 4101 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 145466920 is about 12060.9667937525. The cubic root of 145466920 is about 525.9220922940.

The spelling of 145466920 in words is "one hundred forty-five million, four hundred sixty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1303 2606 2791 5212 5582 6515 10424 11164 13030 13955 22328 26060 27910 52120 55820 111640 3636673 7273346 14546692 18183365 29093384 36366730 72733460 145466920