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145328520 = 23351816691
BaseRepresentation
bin10001010100110…
…00100110001000
3101010110110020210
420222120212020
5244201003040
622230521120
73413162211
oct1052304610
9333413223
10145328520
1175041517
12408061a0
132415480c
1415430408
15cb5a480
hex8a98988

145328520 has 64 divisors (see below), whose sum is σ = 438459840. Its totient is φ = 38534400.

The previous prime is 145328507. The next prime is 145328539. The reversal of 145328520 is 25823541.

It is a super-2 number, since 2×1453285202 = 42240757450780800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18375 + ... + 25065.

It is an arithmetic number, because the mean of its divisors is an integer number (6850935).

Almost surely, 2145328520 is an apocalyptic number.

145328520 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 145328520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219229920).

145328520 is an abundant number, since it is smaller than the sum of its proper divisors (293131320).

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

145328520 is a wasteful number, since it uses less digits than its factorization.

145328520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6886 (or 6882 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 145328520 is about 12055.2279115743. The cubic root of 145328520 is about 525.7552486029.

The spelling of 145328520 in words is "one hundred forty-five million, three hundred twenty-eight thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 181 362 543 724 905 1086 1448 1810 2172 2715 3620 4344 5430 6691 7240 10860 13382 20073 21720 26764 33455 40146 53528 66910 80292 100365 133820 160584 200730 267640 401460 802920 1211071 2422142 3633213 4844284 6055355 7266426 9688568 12110710 14532852 18166065 24221420 29065704 36332130 48442840 72664260 145328520