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150411312 = 243210310141
BaseRepresentation
bin10001111011100…
…01100000110000
3101111000200112100
420331301200300
5302001130222
622531500400
73504321642
oct1075614060
9344020470
10150411312
11779a3277
1242457700
132521419c
1415d94892
15d3114ac
hex8f71830

150411312 has 60 divisors (see below), whose sum is σ = 425071504. Its totient is φ = 49645440.

The previous prime is 150411301. The next prime is 150411323. The reversal of 150411312 is 213114051.

It is an interprime number because it is at equal distance from previous prime (150411301) and next prime (150411323).

It is a super-2 number, since 2×1504113122 = 45247125555122688, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9762 + ... + 19902.

Almost surely, 2150411312 is an apocalyptic number.

150411312 is a gapful number since it is divisible by the number (12) 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 150411312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212535752).

150411312 is an abundant number, since it is smaller than the sum of its proper divisors (274660192).

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

150411312 is a wasteful number, since it uses less digits than its factorization.

150411312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10258 (or 10249 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 150411312 is about 12264.2289606807. The cubic root of 150411312 is about 531.8144905049.

Adding to 150411312 its reverse (213114051), we get a palindrome (363525363).

The spelling of 150411312 in words is "one hundred fifty million, four hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 103 144 206 309 412 618 824 927 1236 1648 1854 2472 3708 4944 7416 10141 14832 20282 30423 40564 60846 81128 91269 121692 162256 182538 243384 365076 486768 730152 1044523 1460304 2089046 3133569 4178092 6267138 8356184 9400707 12534276 16712368 18801414 25068552 37602828 50137104 75205656 150411312