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145785810 = 23579137449
BaseRepresentation
bin10001011000010…
…00001111010010
3101011022200112110
420230020033102
5244310121220
622244410150
73420105342
oct1054101722
9334280473
10145785810
1175324045
12409a6956
13242849c1
141550cd22
15cbeabe0
hex8b083d2

145785810 has 64 divisors (see below), whose sum is σ = 357696000. Its totient is φ = 38019072.

The previous prime is 145785797. The next prime is 145785811. The reversal of 145785810 is 18587541.

It is a super-2 number, since 2×1457858102 = 42507004794712200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145785811) 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 31 ways as a sum of consecutive naturals, for example, 324466 + ... + 324914.

It is an arithmetic number, because the mean of its divisors is an integer number (5589000).

Almost surely, 2145785810 is an apocalyptic number.

145785810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145785810 is an abundant number, since it is smaller than the sum of its proper divisors (211910190).

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

145785810 is a wasteful number, since it uses less digits than its factorization.

145785810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675.

The product of its (nonzero) digits is 44800, while the sum is 39.

The square root of 145785810 is about 12074.1794752273. The cubic root of 145785810 is about 526.3061175047.

The spelling of 145785810 in words is "one hundred forty-five million, seven hundred eighty-five thousand, eight hundred ten".

Divisors: 1 2 3 5 6 10 15 30 79 137 158 237 274 395 411 449 474 685 790 822 898 1185 1347 1370 2055 2245 2370 2694 4110 4490 6735 10823 13470 21646 32469 35471 54115 61513 64938 70942 106413 108230 123026 162345 177355 184539 212826 307565 324690 354710 369078 532065 615130 922695 1064130 1845390 4859527 9719054 14578581 24297635 29157162 48595270 72892905 145785810