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150403320 = 233253113477
BaseRepresentation
bin10001111011011…
…11100011111000
3101111000021120100
420331233203320
5302000401240
622531355400
73504256434
oct1075574370
9344007510
10150403320
1177998271
1242452b60
1325210662
1415d919c4
15d30de30
hex8f6f8f8

150403320 has 96 divisors (see below), whose sum is σ = 504616320. Its totient is φ = 38810880.

The previous prime is 150403313. The next prime is 150403321. The reversal of 150403320 is 23304051.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 150403293 and 150403302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150403321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4422 + ... + 17898.

It is an arithmetic number, because the mean of its divisors is an integer number (5256420).

Almost surely, 2150403320 is an apocalyptic number.

150403320 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 150403320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252308160).

150403320 is an abundant number, since it is smaller than the sum of its proper divisors (354213000).

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

150403320 is a wasteful number, since it uses less digits than its factorization.

150403320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13525 (or 13518 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 150403320 is about 12263.9031307329. The cubic root of 150403320 is about 531.8050711409.

Adding to 150403320 its reverse (23304051), we get a palindrome (173707371).

The spelling of 150403320 in words is "one hundred fifty million, four hundred three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2790 3720 5580 11160 13477 26954 40431 53908 67385 80862 107816 121293 134770 161724 202155 242586 269540 323448 404310 417787 485172 539080 606465 808620 835574 970344 1212930 1253361 1617240 1671148 2088935 2425860 2506722 3342296 3760083 4177870 4851720 5013444 6266805 7520166 8355740 10026888 12533610 15040332 16711480 18800415 25067220 30080664 37600830 50134440 75201660 150403320