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145930512 = 24371333409
BaseRepresentation
bin10001011001010…
…11100100010000
3101011121001000210
420230223210100
5244324234022
622251444120
73421250250
oct1054534420
9334531023
10145930512
1175412832
1240a56640
1324305820
1415549960
15cc28a0c
hex8b2b910

145930512 has 80 divisors (see below), whose sum is σ = 463998080. Its totient is φ = 38486016.

The previous prime is 145930487. The next prime is 145930549. The reversal of 145930512 is 215039541.

It is a self number, because there is not a number n which added to its sum of digits gives 145930512.

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 15 ways as a sum of consecutive naturals, for example, 12337 + ... + 21072.

It is an arithmetic number, because the mean of its divisors is an integer number (5799976).

Almost surely, 2145930512 is an apocalyptic number.

145930512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145930512 is an abundant number, since it is smaller than the sum of its proper divisors (318067568).

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

145930512 is a wasteful number, since it uses less digits than its factorization.

145930512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33440 (or 33434 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 145930512 is about 12080.1701974765. The cubic root of 145930512 is about 526.4801910641.

The spelling of 145930512 in words is "one hundred forty-five million, nine hundred thirty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 33409 66818 100227 133636 200454 233863 267272 400908 434317 467726 534544 701589 801816 868634 935452 1302951 1403178 1603632 1737268 1870904 2605902 2806356 3040219 3474536 3741808 5211804 5612712 6080438 6949072 9120657 10423608 11225424 12160876 18241314 20847216 24321752 36482628 48643504 72965256 145930512