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150014720 = 285233503
BaseRepresentation
bin10001111000100…
…00101100000000
3101110021112111202
420330100230000
5301400432340
622515200332
73501050462
oct1074205400
9343245452
10150014720
1177752309
12422a60a8
132510580b
1415cd0132
15d283c15
hex8f10b00

150014720 has 72 divisors (see below), whose sum is σ = 361591776. Its totient is φ = 59629568.

The previous prime is 150014719. The next prime is 150014723. The reversal of 150014720 is 27410051.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 150014692 and 150014701.

It is not an unprimeable number, because it can be changed into a prime (150014723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 297989 + ... + 298491.

It is an arithmetic number, because the mean of its divisors is an integer number (5022108).

Almost surely, 2150014720 is an apocalyptic number.

150014720 is a gapful number since it is divisible by the number (10) 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 150014720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180795888).

150014720 is an abundant number, since it is smaller than the sum of its proper divisors (211577056).

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

150014720 is an equidigital number, since it uses as much as digits as its factorization.

150014720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 150014720 is about 12248.0496406571. The cubic root of 150014720 is about 531.3466643941.

Adding to 150014720 its reverse (27410051), we get a palindrome (177424771).

The spelling of 150014720 in words is "one hundred fifty million, fourteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 233 256 320 466 503 640 932 1006 1165 1280 1864 2012 2330 2515 3728 4024 4660 5030 7456 8048 9320 10060 14912 16096 18640 20120 29824 32192 37280 40240 59648 64384 74560 80480 117199 128768 149120 160960 234398 298240 321920 468796 585995 643840 937592 1171990 1875184 2343980 3750368 4687960 7500736 9375920 15001472 18751840 30002944 37503680 75007360 150014720