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150129216 = 2632713671
BaseRepresentation
bin10001111001011…
…00101001000000
3101110111100120100
420330230221000
5301413113331
622521442400
73502035336
oct1074545100
9343440510
10150129216
1177820336
1242340400
1325145973
1415d1db56
15d2a7ae6
hex8f2ca40

150129216 has 84 divisors (see below), whose sum is σ = 436497984. Its totient is φ = 49324800.

The previous prime is 150129197. The next prime is 150129229. The reversal of 150129216 is 612921051.

It is a self number, because there is not a number n which added to its sum of digits gives 150129216.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 39061 + ... + 42731.

Almost surely, 2150129216 is an apocalyptic number.

150129216 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 150129216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218248992).

150129216 is an abundant number, since it is smaller than the sum of its proper divisors (286368768).

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

150129216 is a wasteful number, since it uses less digits than its factorization.

150129216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3760 (or 3747 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 150129216 is about 12252.7227994434. The cubic root of 150129216 is about 531.4818102354.

The spelling of 150129216 in words is "one hundred fifty million, one hundred twenty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 142 144 192 213 284 288 426 568 576 639 852 1136 1278 1704 2272 2556 3408 3671 4544 5112 6816 7342 10224 11013 13632 14684 20448 22026 29368 33039 40896 44052 58736 66078 88104 117472 132156 176208 234944 260641 264312 352416 521282 528624 704832 781923 1042564 1057248 1563846 2085128 2114496 2345769 3127692 4170256 4691538 6255384 8340512 9383076 12510768 16681024 18766152 25021536 37532304 50043072 75064608 150129216