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145719024 = 24311377459
BaseRepresentation
bin10001010111101…
…11111011110000
3101011012021220220
420223313323300
5244301002044
622243133040
73416406543
oct1053677360
9334167826
10145719024
1175288950
1240974180
1324260499
14154d285a
15cbd6019
hex8af7ef0

145719024 has 80 divisors (see below), whose sum is σ = 421818240. Its totient is φ = 42958080.

The previous prime is 145718983. The next prime is 145719047. The reversal of 145719024 is 420917541.

It is a happy number.

145719024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1457190243 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15807 + ... + 23265.

It is an arithmetic number, because the mean of its divisors is an integer number (5272728).

Almost surely, 2145719024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145719024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210909120).

145719024 is an abundant number, since it is smaller than the sum of its proper divisors (276099216).

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

145719024 is a wasteful number, since it uses less digits than its factorization.

145719024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7518 (or 7512 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 145719024 is about 12071.4135046398. The cubic root of 145719024 is about 526.2257364552.

The spelling of 145719024 in words is "one hundred forty-five million, seven hundred nineteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 132 148 176 222 264 296 407 444 528 592 814 888 1221 1628 1776 2442 3256 4884 6512 7459 9768 14918 19536 22377 29836 44754 59672 82049 89508 119344 164098 179016 246147 275983 328196 358032 492294 551966 656392 827949 984588 1103932 1312784 1655898 1969176 2207864 3035813 3311796 3938352 4415728 6071626 6623592 9107439 12143252 13247184 18214878 24286504 36429756 48573008 72859512 145719024