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150023040 = 273578137
BaseRepresentation
bin10001111000100…
…10101110000000
3101110021221220220
420330102232000
5301401214130
622515303040
73501113646
oct1074225600
9343257826
10150023040
1177758592
12422aaa80
132510953b
1415cd3196
15d286410
hex8f12b80

150023040 has 64 divisors (see below), whose sum is σ = 478204560. Its totient is φ = 40005632.

The previous prime is 150023033. The next prime is 150023047. The reversal of 150023040 is 40320051.

It is an interprime number because it is at equal distance from previous prime (150023033) and next prime (150023047).

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

It is a super-4 number, since 4×1500230404 (a number of 34 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150023047) 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 7 ways as a sum of consecutive naturals, for example, 37149 + ... + 40988.

Almost surely, 2150023040 is an apocalyptic number.

150023040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150023040 is an abundant number, since it is smaller than the sum of its proper divisors (328181520).

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

150023040 is an equidigital number, since it uses as much as digits as its factorization.

150023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78159 (or 78147 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 150023040 is about 12248.3892818607. The cubic root of 150023040 is about 531.3564872579.

Adding to 150023040 its reverse (40320051), we get a palindrome (190343091).

The spelling of 150023040 in words is "one hundred fifty million, twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 78137 156274 234411 312548 390685 468822 625096 781370 937644 1172055 1250192 1562740 1875288 2344110 2500384 3125480 3750576 4688220 5000768 6250960 7501152 9376440 10001536 12501920 15002304 18752880 25003840 30004608 37505760 50007680 75011520 150023040