Search a number
-
+
145498144 = 2511253709
BaseRepresentation
bin10001010110000…
…10000000100000
3101010210001221011
420223002000200
5244221420034
622234310304
73414466561
oct1053020040
9333701834
10145498144
1175147a00
1240888394
13241b3a9c
1415476168
15cb90864
hex8ac2020

145498144 has 72 divisors (see below), whose sum is σ = 321250860. Its totient is φ = 64796160.

The previous prime is 145498139. The next prime is 145498151. The reversal of 145498144 is 441894541.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 144288144 + 1210000 = 12012^2 + 1100^2 .

It is a junction number, because it is equal to n+sod(n) for n = 145498097 and 145498106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204862 + ... + 205570.

Almost surely, 2145498144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145498144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160625430).

145498144 is an abundant number, since it is smaller than the sum of its proper divisors (175752716).

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

145498144 is a wasteful number, since it uses less digits than its factorization.

145498144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 775 counting only the distinct ones).

The product of its digits is 92160, while the sum is 40.

The square root of 145498144 is about 12062.2611478943. The cubic root of 145498144 is about 525.9597187560.

The spelling of 145498144 in words is "one hundred forty-five million, four hundred ninety-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 53 88 106 121 176 212 242 352 424 484 583 709 848 968 1166 1418 1696 1936 2332 2836 3872 4664 5672 6413 7799 9328 11344 12826 15598 18656 22688 25652 31196 37577 51304 62392 75154 85789 102608 124784 150308 171578 205216 249568 300616 343156 413347 601232 686312 826694 1202464 1372624 1653388 2745248 3306776 4546817 6613552 9093634 13227104 18187268 36374536 72749072 145498144