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145301020 = 22529379661
BaseRepresentation
bin10001010100100…
…01111000011100
3101010102001112021
420222101320130
5244144113040
622230145524
73413016064
oct1052217034
9333361467
10145301020
1175022897
12407b22a4
1324145147
14154243a4
15cb5224a
hex8a91e1c

145301020 has 48 divisors (see below), whose sum is σ = 316965600. Its totient is φ = 55883520.

The previous prime is 145300997. The next prime is 145301021. The reversal of 145301020 is 20103541.

It is a super-2 number, since 2×1453010202 = 42224772826080800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145300985 and 145301003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145301021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219490 + ... + 220150.

It is an arithmetic number, because the mean of its divisors is an integer number (6603450).

Almost surely, 2145301020 is an apocalyptic number.

145301020 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 145301020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158482800).

145301020 is an abundant number, since it is smaller than the sum of its proper divisors (171664580).

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

145301020 is a wasteful number, since it uses less digits than its factorization.

145301020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 145301020 is about 12054.0872736180. The cubic root of 145301020 is about 525.7220842444.

Adding to 145301020 its reverse (20103541), we get a palindrome (165404561).

The spelling of 145301020 in words is "one hundred forty-five million, three hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 379 580 661 758 1322 1516 1895 2644 3305 3790 6610 7580 10991 13220 19169 21982 38338 43964 54955 76676 95845 109910 191690 219820 250519 383380 501038 1002076 1252595 2505190 5010380 7265051 14530102 29060204 36325255 72650510 145301020