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145818100 = 22523973673
BaseRepresentation
bin10001011000100…
…00000111110100
3101011101022211101
420230100013310
5244312134400
622245215444
73420301441
oct1054200764
9334338741
10145818100
117534632a
1240a01584
13242965cc
141551a9c8
15cc0556a
hex8b101f4

145818100 has 36 divisors (see below), whose sum is σ = 317308684. Its totient is φ = 58164480.

The previous prime is 145818097. The next prime is 145818109. The reversal of 145818100 is 1818541.

It can be written as a sum of positive squares in 6 ways, for example, as 14348944 + 131469156 = 3788^2 + 11466^2 .

It is a super-2 number, since 2×1458181002 = 42525836575220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145818109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37864 + ... + 41536.

Almost surely, 2145818100 is an apocalyptic number.

145818100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145818100 is an abundant number, since it is smaller than the sum of its proper divisors (171490584).

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

145818100 is a wasteful number, since it uses less digits than its factorization.

145818100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4084 (or 4077 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 28.

The square root of 145818100 is about 12075.5165520983. The cubic root of 145818100 is about 526.3449716977.

The spelling of 145818100 in words is "one hundred forty-five million, eight hundred eighteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 397 794 1588 1985 3673 3970 7346 7940 9925 14692 18365 19850 36730 39700 73460 91825 183650 367300 1458181 2916362 5832724 7290905 14581810 29163620 36454525 72909050 145818100