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145441260 = 223251395813
BaseRepresentation
bin10001010101101…
…00000111101100
3101010200011220100
420222310013230
5244213110020
622233151100
73414141666
oct1052640754
9333604810
10145441260
1175109198
124085b490
1324193c23
141545d536
15cb7da90
hex8ab41ec

145441260 has 72 divisors (see below), whose sum is σ = 444422160. Its totient is φ = 38498688.

The previous prime is 145441249. The next prime is 145441271. The reversal of 145441260 is 62144541.

It is an interprime number because it is at equal distance from previous prime (145441249) and next prime (145441271).

It is a super-2 number, since 2×1454412602 = 42306320220775200, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 22114 + ... + 27926.

It is an arithmetic number, because the mean of its divisors is an integer number (6172530).

Almost surely, 2145441260 is an apocalyptic number.

145441260 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 145441260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222211080).

145441260 is an abundant number, since it is smaller than the sum of its proper divisors (298980900).

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

145441260 is a wasteful number, since it uses less digits than its factorization.

145441260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5967 (or 5962 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 145441260 is about 12059.9029846844. The cubic root of 145441260 is about 525.8911666960.

The spelling of 145441260 in words is "one hundred forty-five million, four hundred forty-one thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 139 180 278 417 556 695 834 1251 1390 1668 2085 2502 2780 4170 5004 5813 6255 8340 11626 12510 17439 23252 25020 29065 34878 52317 58130 69756 87195 104634 116260 174390 209268 261585 348780 523170 808007 1046340 1616014 2424021 3232028 4040035 4848042 7272063 8080070 9696084 12120105 14544126 16160140 24240210 29088252 36360315 48480420 72720630 145441260