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150632300 = 225271316553
BaseRepresentation
bin10001111101001…
…11011101101100
3101111102220200002
420332213131230
5302030213200
622540323432
73506232140
oct1076473554
9344386602
10150632300
1178034305
1242543578
1325290950
1416011220
15d356bd5
hex8fa776c

150632300 has 72 divisors (see below), whose sum is σ = 402328416. Its totient is φ = 47669760.

The previous prime is 150632231. The next prime is 150632303. The reversal of 150632300 is 3236051.

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

It is not an unprimeable number, because it can be changed into a prime (150632303) 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, 824 + ... + 17376.

Almost surely, 2150632300 is an apocalyptic number.

150632300 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 150632300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201164208).

150632300 is an abundant number, since it is smaller than the sum of its proper divisors (251696116).

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

150632300 is a wasteful number, since it uses less digits than its factorization.

150632300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16587 (or 16580 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 150632300 is about 12273.2351073382. The cubic root of 150632300 is about 532.0748146993.

Adding to 150632300 its reverse (3236051), we get a palindrome (153868351).

The spelling of 150632300 in words is "one hundred fifty million, six hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2275 4550 9100 16553 33106 66212 82765 115871 165530 215189 231742 331060 413825 430378 463484 579355 827650 860756 1075945 1158710 1506323 1655300 2151890 2317420 2896775 3012646 4303780 5379725 5793550 6025292 7531615 10759450 11587100 15063230 21518900 30126460 37658075 75316150 150632300