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145412190 = 232571120983
BaseRepresentation
bin10001010101011…
…01000001011110
3101010121201000200
420222231001132
5244211142230
622232404330
73413661150
oct1052550136
9333551020
10145412190
1175099370
12408466a6
1324183921
1415452ad0
15cb75160
hex8aad05e

145412190 has 96 divisors (see below), whose sum is σ = 471384576. Its totient is φ = 30214080.

The previous prime is 145412173. The next prime is 145412191. The reversal of 145412190 is 91214541.

145412190 is a `hidden beast` number, since 1 + 454 + 121 + 90 = 666.

It is a super-2 number, since 2×1454121902 = 42289410001192200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145412191) 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 47 ways as a sum of consecutive naturals, for example, 3562 + ... + 17421.

It is an arithmetic number, because the mean of its divisors is an integer number (4910256).

Almost surely, 2145412190 is an apocalyptic number.

145412190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145412190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235692288).

145412190 is an abundant number, since it is smaller than the sum of its proper divisors (325972386).

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

145412190 is a wasteful number, since it uses less digits than its factorization.

145412190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21014 (or 21011 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 145412190 is about 12058.6976908786. The cubic root of 145412190 is about 525.8561269490.

The spelling of 145412190 in words is "one hundred forty-five million, four hundred twelve thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 55 63 66 70 77 90 99 105 110 126 154 165 198 210 231 315 330 385 462 495 630 693 770 990 1155 1386 2310 3465 6930 20983 41966 62949 104915 125898 146881 188847 209830 230813 293762 314745 377694 440643 461626 629490 692439 734405 881286 944235 1154065 1321929 1384878 1468810 1615691 1888470 2077317 2203215 2308130 2643858 3231382 3462195 4154634 4406430 4847073 6609645 6924390 8078455 9694146 10386585 13219290 14541219 16156910 20773170 24235365 29082438 48470730 72706095 145412190