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145820250 = 2345319379
BaseRepresentation
bin10001011000100…
…00101001011010
3101011101102210000
420230100221122
5244312222000
622245233430
73420310632
oct1054205132
9334342700
10145820250
1175347a04
1240a02876
1324297594
141551b6c2
15cc06000
hex8b10a5a

145820250 has 160 divisors (see below), whose sum is σ = 430372800. Its totient is φ = 36741600.

The previous prime is 145820239. The next prime is 145820251. The reversal of 145820250 is 52028541.

It is a happy number.

145820250 is a `hidden beast` number, since 1 + 458 + 202 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (145820251) 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 79 ways as a sum of consecutive naturals, for example, 384561 + ... + 384939.

It is an arithmetic number, because the mean of its divisors is an integer number (2689830).

Almost surely, 2145820250 is an apocalyptic number.

145820250 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 145820250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215186400).

145820250 is an abundant number, since it is smaller than the sum of its proper divisors (284552550).

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

145820250 is a wasteful number, since it uses less digits than its factorization.

145820250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 145820250 is about 12075.6055748770. The cubic root of 145820250 is about 526.3475585648.

Adding to 145820250 its reverse (52028541), we get a palindrome (197848791).

It can be divided in two parts, 145820 and 250, that added together give a triangular number (146070 = T540).

The spelling of 145820250 in words is "one hundred forty-five million, eight hundred twenty thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 27 30 38 45 50 54 57 75 81 90 95 114 125 135 150 162 171 190 225 250 270 285 342 375 379 405 450 475 513 570 675 750 758 810 855 950 1026 1125 1137 1350 1425 1539 1710 1895 2025 2250 2274 2375 2565 2850 3078 3375 3411 3790 4050 4275 4750 5130 5685 6750 6822 7125 7201 7695 8550 9475 10125 10233 11370 12825 14250 14402 15390 17055 18950 20250 20466 21375 21603 25650 28425 30699 34110 36005 38475 42750 43206 47375 51165 56850 61398 64125 64809 72010 76950 85275 94750 102330 108015 128250 129618 142125 153495 170550 180025 192375 194427 216030 255825 284250 306990 324045 360050 384750 388854 426375 511650 540075 583281 648090 767475 852750 900125 972135 1080150 1166562 1279125 1534950 1620225 1800250 1944270 2558250 2700375 2916405 3240450 3837375 4860675 5400750 5832810 7674750 8101125 9721350 14582025 16202250 24303375 29164050 48606750 72910125 145820250