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150801024 = 27311191879
BaseRepresentation
bin10001111110100…
…00101010000000
3101111202111010010
420333100222000
5302101113044
622544104520
73510534063
oct1077205200
9344674103
10150801024
117813a050
1242605140
132531c69a
14160568da
15d38bbb9
hex8fd0a80

150801024 has 128 divisors (see below), whose sum is σ = 460224000. Its totient is φ = 43269120.

The previous prime is 150801023. The next prime is 150801029. The reversal of 150801024 is 420108051.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150801023) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 79317 + ... + 81195.

It is an arithmetic number, because the mean of its divisors is an integer number (3595500).

Almost surely, 2150801024 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 150801024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230112000).

150801024 is an abundant number, since it is smaller than the sum of its proper divisors (309422976).

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

150801024 is a wasteful number, since it uses less digits than its factorization.

150801024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 150801024 is about 12280.1068399261. The cubic root of 150801024 is about 532.2734004679.

Adding to 150801024 its reverse (420108051), we get a palindrome (570909075).

The spelling of 150801024 in words is "one hundred fifty million, eight hundred one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 128 132 152 176 192 209 228 264 304 352 384 418 456 528 608 627 704 836 912 1056 1216 1254 1408 1672 1824 1879 2112 2432 2508 3344 3648 3758 4224 5016 5637 6688 7296 7516 10032 11274 13376 15032 20064 20669 22548 26752 30064 35701 40128 41338 45096 60128 62007 71402 80256 82676 90192 107103 120256 124014 142804 165352 180384 214206 240512 248028 285608 330704 360768 392711 428412 496056 571216 661408 721536 785422 856824 992112 1142432 1178133 1322816 1570844 1713648 1984224 2284864 2356266 2645632 3141688 3427296 3968448 4569728 4712532 6283376 6854592 7936896 9425064 12566752 13709184 18850128 25133504 37700256 50267008 75400512 150801024