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145035360 = 2534519231
BaseRepresentation
bin10001010010100…
…01000001100000
3101002220120010000
420221101001200
5244112112420
622220340000
73410531421
oct1051210140
9332816100
10145035360
1174961238
12406a4600
1324081252
1415395648
15caed690
hex8a51060

145035360 has 360 divisors, whose sum is σ = 557637696. Its totient is φ = 35458560.

The previous prime is 145035353. The next prime is 145035361. The reversal of 145035360 is 63530541.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145035361) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4678545 + ... + 4678575.

Almost surely, 2145035360 is an apocalyptic number.

145035360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145035360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278818848).

145035360 is an abundant number, since it is smaller than the sum of its proper divisors (412602336).

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

145035360 is a wasteful number, since it uses less digits than its factorization.

145035360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 145035360 is about 12043.0627333748. The cubic root of 145035360 is about 525.4014888053.

The spelling of 145035360 in words is "one hundred forty-five million, thirty-five thousand, three hundred sixty".