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150051216 = 2437617321
BaseRepresentation
bin10001111000110…
…01100110010000
3101110100101120110
420330121212100
5301403114331
622520041320
73501262050
oct1074314620
9343311513
10150051216
1177777777
1242303240
1325119303
1415cdd560
15d28e946
hex8f19990

150051216 has 80 divisors (see below), whose sum is σ = 450332288. Its totient is φ = 42163200.

The previous prime is 150051193. The next prime is 150051217. The reversal of 150051216 is 612150051.

150051216 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (21).

150051216 is a nontrivial repdigit in base 11.

It is a plaindrome in base 11.

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 150051192 and 150051201.

It is not an unprimeable number, because it can be changed into a prime (150051217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16836 + ... + 24156.

Almost surely, 2150051216 is an apocalyptic number.

150051216 is a gapful number since it is divisible by the number (16) 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 150051216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225166144).

150051216 is an abundant number, since it is smaller than the sum of its proper divisors (300281072).

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

150051216 is a wasteful number, since it uses less digits than its factorization.

150051216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7400 (or 7394 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 150051216 is about 12249.5394199129. The cubic root of 150051216 is about 531.3897500670.

The spelling of 150051216 in words is "one hundred fifty million, fifty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 61 84 112 122 168 183 244 336 366 427 488 732 854 976 1281 1464 1708 2562 2928 3416 5124 6832 7321 10248 14642 20496 21963 29284 43926 51247 58568 87852 102494 117136 153741 175704 204988 307482 351408 409976 446581 614964 819952 893162 1229928 1339743 1786324 2459856 2679486 3126067 3572648 5358972 6252134 7145296 9378201 10717944 12504268 18756402 21435888 25008536 37512804 50017072 75025608 150051216