Search a number
-
+
150315020 = 22517412263
BaseRepresentation
bin10001111010110…
…10000000001100
3101110211210102222
420331122000030
5301440040040
622525434512
73503441132
oct1075320014
9343753388
10150315020
1177937999
124240ba38
13251ac3cb
1415d6b752
15d2e2bb5
hex8f5a00c

150315020 has 72 divisors (see below), whose sum is σ = 343883232. Its totient is φ = 54999040.

The previous prime is 150315019. The next prime is 150315031. The reversal of 150315020 is 20513051.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 150315020.

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 23 ways as a sum of consecutive naturals, for example, 571409 + ... + 571671.

It is an arithmetic number, because the mean of its divisors is an integer number (4776156).

Almost surely, 2150315020 is an apocalyptic number.

150315020 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 150315020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171941616).

150315020 is an abundant number, since it is smaller than the sum of its proper divisors (193568212).

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

150315020 is a wasteful number, since it uses less digits than its factorization.

150315020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 150315020 is about 12260.3026063797. The cubic root of 150315020 is about 531.7009786241.

Adding to 150315020 its reverse (20513051), we get a palindrome (170828071).

The spelling of 150315020 in words is "one hundred fifty million, three hundred fifteen thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 41 68 82 85 164 170 205 263 340 410 526 697 820 1052 1315 1394 1681 2630 2788 3362 3485 4471 5260 6724 6970 8405 8942 10783 13940 16810 17884 21566 22355 28577 33620 43132 44710 53915 57154 89420 107830 114308 142885 183311 215660 285770 366622 442103 571540 733244 884206 916555 1768412 1833110 2210515 3666220 4421030 7515751 8842060 15031502 30063004 37578755 75157510 150315020