Search a number
-
+
145891280 = 24517107273
BaseRepresentation
bin10001011001000…
…01111111010000
3101011112001012202
420230201333100
5244322010110
622250542332
73421025003
oct1054417720
9334461182
10145891280
1175396307
1240a379a8
13242c0a02
141553953a
15cc1c0a5
hex8b21fd0

145891280 has 40 divisors (see below), whose sum is σ = 359153352. Its totient is φ = 54923264.

The previous prime is 145891279. The next prime is 145891307. The reversal of 145891280 is 82198541.

It can be written as a sum of positive squares in 4 ways, for example, as 4376464 + 141514816 = 2092^2 + 11896^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 52277 + ... + 54996.

Almost surely, 2145891280 is an apocalyptic number.

145891280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145891280 is an abundant number, since it is smaller than the sum of its proper divisors (213262072).

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

145891280 is a wasteful number, since it uses less digits than its factorization.

145891280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107303 (or 107297 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 38.

The square root of 145891280 is about 12078.5462701436. The cubic root of 145891280 is about 526.4330071412.

The spelling of 145891280 in words is "one hundred forty-five million, eight hundred ninety-one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 107273 214546 429092 536365 858184 1072730 1716368 1823641 2145460 3647282 4290920 7294564 8581840 9118205 14589128 18236410 29178256 36472820 72945640 145891280