Search a number
-
+
145155264 = 2632413137
BaseRepresentation
bin10001010011011…
…10010011000000
3101010010122120220
420221232103000
5244124432024
622223103040
73411541122
oct1051562300
9333118526
10145155264
1174a33331
1240741a80
13240c39b7
14153c7212
15cb23e79
hex8a6e4c0

145155264 has 56 divisors (see below), whose sum is σ = 385773168. Its totient is φ = 48168960.

The previous prime is 145155259. The next prime is 145155271. The reversal of 145155264 is 462551541.

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 7 ways as a sum of consecutive naturals, for example, 44704 + ... + 47840.

Almost surely, 2145155264 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 145155264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192886584).

145155264 is an abundant number, since it is smaller than the sum of its proper divisors (240617904).

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

145155264 is a wasteful number, since it uses less digits than its factorization.

145155264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3393 (or 3383 counting only the distinct ones).

The product of its digits is 24000, while the sum is 33.

The square root of 145155264 is about 12048.0398405716. The cubic root of 145155264 is about 525.5462360070.

The spelling of 145155264 in words is "one hundred forty-five million, one hundred fifty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 241 482 723 964 1446 1928 2892 3137 3856 5784 6274 7712 9411 11568 12548 15424 18822 23136 25096 37644 46272 50192 75288 100384 150576 200768 301152 602304 756017 1512034 2268051 3024068 4536102 6048136 9072204 12096272 18144408 24192544 36288816 48385088 72577632 145155264