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150303840 = 2535313133
BaseRepresentation
bin10001111010101…
…11010001100000
3101110211020002220
420331113101200
5301434210330
622525311040
73503363421
oct1075272140
9343736086
10150303840
117792a555
1242405480
13251a72ab
1415d67648
15d2de710
hex8f57460

150303840 has 48 divisors (see below), whose sum is σ = 473458608. Its totient is φ = 40080896.

The previous prime is 150303799. The next prime is 150303859. The reversal of 150303840 is 48303051.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 150303840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156087 + ... + 157046.

It is an arithmetic number, because the mean of its divisors is an integer number (9863721).

Almost surely, 2150303840 is an apocalyptic number.

150303840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150303840 is an abundant number, since it is smaller than the sum of its proper divisors (323154768).

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

150303840 is a wasteful number, since it uses less digits than its factorization.

150303840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313151 (or 313143 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 150303840 is about 12259.8466548322. The cubic root of 150303840 is about 531.6877961661.

Adding to 150303840 its reverse (48303051), we get a palindrome (198606891).

The spelling of 150303840 in words is "one hundred fifty million, three hundred three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 313133 626266 939399 1252532 1565665 1878798 2505064 3131330 3757596 4696995 5010128 6262660 7515192 9393990 10020256 12525320 15030384 18787980 25050640 30060768 37575960 50101280 75151920 150303840