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145025300 = 225272171741
BaseRepresentation
bin10001010010011…
…10100100010100
3101002220001022102
420221032210110
5244111302200
622220221232
73410460200
oct1051164424
9332801272
10145025300
1174954722
124069a818
13240797b4
1415391b00
15caea6d5
hex8a4e914

145025300 has 108 divisors (see below), whose sum is σ = 387842364. Its totient is φ = 46771200.

The previous prime is 145025297. The next prime is 145025359. The reversal of 145025300 is 3520541.

It can be written as a sum of positive squares in 6 ways, for example, as 18957316 + 126067984 = 4354^2 + 11228^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 82430 + ... + 84170.

It is an arithmetic number, because the mean of its divisors is an integer number (3591133).

Almost surely, 2145025300 is an apocalyptic number.

145025300 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 145025300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193921182).

145025300 is an abundant number, since it is smaller than the sum of its proper divisors (242817064).

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

145025300 is a wasteful number, since it uses less digits than its factorization.

145025300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 145025300 is about 12042.6450582918. The cubic root of 145025300 is about 525.3893408225.

Adding to 145025300 its reverse (3520541), we get a palindrome (148545841).

The spelling of 145025300 in words is "one hundred forty-five million, twenty-five thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 49 50 68 70 85 98 100 119 140 170 175 196 238 245 340 350 425 476 490 595 700 833 850 980 1190 1225 1666 1700 1741 2380 2450 2975 3332 3482 4165 4900 5950 6964 8330 8705 11900 12187 16660 17410 20825 24374 29597 34820 41650 43525 48748 59194 60935 83300 85309 87050 118388 121870 147985 170618 174100 207179 243740 295970 304675 341236 414358 426545 591940 609350 739925 828716 853090 1035895 1218700 1450253 1479850 1706180 2071790 2132725 2900506 2959700 4143580 4265450 5179475 5801012 7251265 8530900 10358950 14502530 20717900 29005060 36256325 72512650 145025300