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145568820 = 223524110067
BaseRepresentation
bin10001010110100…
…11010000110100
3101010220122212210
420223103100310
5244231200240
622240013420
73415212615
oct1053232064
9333818783
10145568820
1175196011
1240901270
1324209cc7
1415493c0c
15cba6780
hex8ad3434

145568820 has 48 divisors (see below), whose sum is σ = 409324608. Its totient is φ = 38653440.

The previous prime is 145568783. The next prime is 145568827. The reversal of 145568820 is 28865541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145568827) 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, 9427 + ... + 19493.

It is an arithmetic number, because the mean of its divisors is an integer number (8527596).

Almost surely, 2145568820 is an apocalyptic number.

145568820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145568820 is an abundant number, since it is smaller than the sum of its proper divisors (263755788).

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

145568820 is a wasteful number, since it uses less digits than its factorization.

145568820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10320 (or 10318 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The square root of 145568820 is about 12065.1904253518. The cubic root of 145568820 is about 526.0448669483.

The spelling of 145568820 in words is "one hundred forty-five million, five hundred sixty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 241 482 723 964 1205 1446 2410 2892 3615 4820 7230 10067 14460 20134 30201 40268 50335 60402 100670 120804 151005 201340 302010 604020 2426147 4852294 7278441 9704588 12130735 14556882 24261470 29113764 36392205 48522940 72784410 145568820