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145286780 = 22541533343
BaseRepresentation
bin10001010100011…
…10011001111100
3101010101022222212
420222032121330
5244143134110
622225555552
73412626422
oct1052163174
9333338885
10145286780
1175013121
12407a5bb8
132413b812
141541d112
15cb4ce05
hex8a8e67c

145286780 has 48 divisors (see below), whose sum is σ = 318536064. Its totient is φ = 55610880.

The previous prime is 145286761. The next prime is 145286789. The reversal of 145286780 is 87682541.

145286780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1452867802 = 42216496885536800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145286789) 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, 41789 + ... + 45131.

It is an arithmetic number, because the mean of its divisors is an integer number (6636168).

Almost surely, 2145286780 is an apocalyptic number.

145286780 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 145286780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159268032).

145286780 is an abundant number, since it is smaller than the sum of its proper divisors (173249284).

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

145286780 is a wasteful number, since it uses less digits than its factorization.

145286780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3446 (or 3444 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 41.

The square root of 145286780 is about 12053.4965881274. The cubic root of 145286780 is about 525.7049094922.

The spelling of 145286780 in words is "one hundred forty-five million, two hundred eighty-six thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 41 53 82 106 164 205 212 265 410 530 820 1060 2173 3343 4346 6686 8692 10865 13372 16715 21730 33430 43460 66860 137063 177179 274126 354358 548252 685315 708716 885895 1370630 1771790 2741260 3543580 7264339 14528678 29057356 36321695 72643390 145286780