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145927820 = 22519138201
BaseRepresentation
bin10001011001010…
…10111010001100
3101011120220100002
420230222322030
5244324142240
622251423432
73421236353
oct1054527214
9334526302
10145927820
1175410805
1240a54b78
132430452c
141554899a
15cc27d15
hex8b2ae8c

145927820 has 24 divisors (see below), whose sum is σ = 308060928. Its totient is φ = 58064000.

The previous prime is 145927787. The next prime is 145927823. The reversal of 145927820 is 28729541.

It is not an unprimeable number, because it can be changed into a prime (145927823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15281 + ... + 22920.

It is an arithmetic number, because the mean of its divisors is an integer number (12835872).

Almost surely, 2145927820 is an apocalyptic number.

145927820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145927820 is an abundant number, since it is smaller than the sum of its proper divisors (162133108).

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

145927820 is a wasteful number, since it uses less digits than its factorization.

145927820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38401 (or 38399 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 145927820 is about 12080.0587746915. The cubic root of 145927820 is about 526.4769536937.

The spelling of 145927820 in words is "one hundred forty-five million, nine hundred twenty-seven thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 191 382 764 955 1910 3820 38201 76402 152804 191005 382010 764020 7296391 14592782 29185564 36481955 72963910 145927820