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145303260 = 223519197647
BaseRepresentation
bin10001010100100…
…10011011011100
3101010102011121020
420222102123130
5244144201020
622230204140
73413025444
oct1052223334
9333364536
10145303260
1175024543
12407b3650
132414617b
1415425124
15cb52c40
hex8a926dc

145303260 has 96 divisors (see below), whose sum is σ = 431101440. Its totient is φ = 36465408.

The previous prime is 145303229. The next prime is 145303261. The reversal of 145303260 is 62303541.

It is a happy number.

It is a super-2 number, since 2×1453032602 = 42226074733255200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145303260.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145303261) 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 31 ways as a sum of consecutive naturals, for example, 224257 + ... + 224903.

It is an arithmetic number, because the mean of its divisors is an integer number (4490640).

Almost surely, 2145303260 is an apocalyptic number.

145303260 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 145303260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215550720).

145303260 is an abundant number, since it is smaller than the sum of its proper divisors (285798180).

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

145303260 is a wasteful number, since it uses less digits than its factorization.

145303260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 145303260 is about 12054.1801878021. The cubic root of 145303260 is about 525.7247857887.

The spelling of 145303260 in words is "one hundred forty-five million, three hundred three thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 197 228 285 380 394 570 591 647 788 985 1140 1182 1294 1941 1970 2364 2588 2955 3235 3743 3882 3940 5910 6470 7486 7764 9705 11229 11820 12293 12940 14972 18715 19410 22458 24586 36879 37430 38820 44916 49172 56145 61465 73758 74860 112290 122930 127459 147516 184395 224580 245860 254918 368790 382377 509836 637295 737580 764754 1274590 1529508 1911885 2421721 2549180 3823770 4843442 7265163 7647540 9686884 12108605 14530326 24217210 29060652 36325815 48434420 72651630 145303260