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150117128 = 23731432011
BaseRepresentation
bin10001111001010…
…01101100001000
3101110110201222122
420330221230020
5301412222003
622521310412
73501655160
oct1074515410
9343421878
10150117128
1177812247
1242335408
1325140305
1415d195a0
15d2a4238
hex8f29b08

150117128 has 64 divisors (see below), whose sum is σ = 339947520. Its totient is φ = 60782400.

The previous prime is 150117083. The next prime is 150117131. The reversal of 150117128 is 821711051.

It is a junction number, because it is equal to n+sod(n) for n = 150117097 and 150117106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73643 + ... + 75653.

It is an arithmetic number, because the mean of its divisors is an integer number (5311680).

Almost surely, 2150117128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150117128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169973760).

150117128 is an abundant number, since it is smaller than the sum of its proper divisors (189830392).

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

150117128 is a wasteful number, since it uses less digits than its factorization.

150117128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2098 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 26.

The square root of 150117128 is about 12252.2295113991. The cubic root of 150117128 is about 531.4675453581.

Adding to 150117128 its reverse (821711051), we get a palindrome (971828179).

The spelling of 150117128 in words is "one hundred fifty million, one hundred seventeen thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 31 43 56 62 86 124 172 217 248 301 344 434 602 868 1204 1333 1736 2011 2408 2666 4022 5332 8044 9331 10664 14077 16088 18662 28154 37324 56308 62341 74648 86473 112616 124682 172946 249364 345892 436387 498728 605311 691784 872774 1210622 1745548 2421244 2680663 3491096 4842488 5361326 10722652 18764641 21445304 37529282 75058564 150117128