Search a number
-
+
145177284 = 22372118191
BaseRepresentation
bin10001010011100…
…11101011000100
3101010011202210110
420221303223010
5244131133114
622223353020
73411662250
oct1051635304
9333152713
10145177284
1174a4892a
1240752770
1324100a25
14153d1260
15cb2a759
hex8a73ac4

145177284 has 48 divisors (see below), whose sum is σ = 389021696. Its totient is φ = 41277600.

The previous prime is 145177283. The next prime is 145177301. The reversal of 145177284 is 482771541.

It is not an unprimeable number, because it can be changed into a prime (145177283) 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 15 ways as a sum of consecutive naturals, for example, 13629 + ... + 21819.

Almost surely, 2145177284 is an apocalyptic number.

145177284 is a gapful number since it is divisible by the number (14) 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 145177284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194510848).

145177284 is an abundant number, since it is smaller than the sum of its proper divisors (243844412).

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

145177284 is a wasteful number, since it uses less digits than its factorization.

145177284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8416 (or 8414 counting only the distinct ones).

The product of its digits is 62720, while the sum is 39.

The square root of 145177284 is about 12048.9536475165. The cubic root of 145177284 is about 525.5728097201.

The spelling of 145177284 in words is "one hundred forty-five million, one hundred seventy-seven thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 211 422 633 844 1266 1477 2532 2954 4431 5908 8191 8862 16382 17724 24573 32764 49146 57337 98292 114674 172011 229348 344022 688044 1728301 3456602 5184903 6913204 10369806 12098107 20739612 24196214 36294321 48392428 72588642 145177284