Search a number
-
+
150043264 = 2771511109
BaseRepresentation
bin10001111000101…
…11101010000000
3101110022222122221
420330113222000
5301402341024
622515540424
73501226630
oct1074275200
9343288587
10150043264
11777717a8
12422ba714
13251157c7
1415cda6c0
15d28c3e4
hex8f17a80

150043264 has 64 divisors (see below), whose sum is σ = 344188800. Its totient is φ = 63820800.

The previous prime is 150043253. The next prime is 150043273. The reversal of 150043264 is 462340051.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134742 + ... + 135850.

It is an arithmetic number, because the mean of its divisors is an integer number (5377950).

Almost surely, 2150043264 is an apocalyptic number.

150043264 is a gapful number since it is divisible by the number (14) 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 150043264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172094400).

150043264 is an abundant number, since it is smaller than the sum of its proper divisors (194145536).

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

150043264 is a wasteful number, since it uses less digits than its factorization.

150043264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 150043264 is about 12249.2148319800. The cubic root of 150043264 is about 531.3803628590.

The spelling of 150043264 in words is "one hundred fifty million, forty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 151 224 302 448 604 896 1057 1109 1208 2114 2218 2416 4228 4436 4832 7763 8456 8872 9664 15526 16912 17744 19328 31052 33824 35488 62104 67648 70976 124208 135296 141952 167459 248416 334918 496832 669836 993664 1172213 1339672 2344426 2679344 4688852 5358688 9377704 10717376 18755408 21434752 37510816 75021632 150043264