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145087936 = 267312337
BaseRepresentation
bin10001010010111…
…01110111000000
3101010000020020021
420221131313000
5244120303221
622221423224
73411140620
oct1051356700
9333006207
10145087936
1174997794
124070ab14
132409c166
14153aa880
15cb0e041
hex8a5ddc0

145087936 has 84 divisors (see below), whose sum is σ = 341004144. Its totient is φ = 59996160.

The previous prime is 145087931. The next prime is 145087937. The reversal of 145087936 is 639780541.

It is a junction number, because it is equal to n+sod(n) for n = 145087892 and 145087901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145087931) 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 11 ways as a sum of consecutive naturals, for example, 430360 + ... + 430696.

Almost surely, 2145087936 is an apocalyptic number.

145087936 is a gapful number since it is divisible by the number (16) 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 145087936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170502072).

145087936 is an abundant number, since it is smaller than the sum of its proper divisors (195916208).

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

145087936 is an equidigital number, since it uses as much as digits as its factorization.

145087936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The square root of 145087936 is about 12045.2453690242. The cubic root of 145087936 is about 525.4649679722.

The spelling of 145087936 in words is "one hundred forty-five million, eighty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 217 224 248 337 434 448 496 674 868 961 992 1348 1736 1922 1984 2359 2696 3472 3844 4718 5392 6727 6944 7688 9436 10447 10784 13454 13888 15376 18872 20894 21568 26908 30752 37744 41788 53816 61504 73129 75488 83576 107632 146258 150976 167152 215264 292516 323857 334304 430528 585032 647714 668608 1170064 1295428 2266999 2340128 2590856 4533998 4680256 5181712 9067996 10363424 18135992 20726848 36271984 72543968 145087936