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150716032 = 2743139197
BaseRepresentation
bin10001111101110…
…11111010000000
3101111121011112021
420332323322000
5302040403112
622542211224
73510031225
oct1076737200
9344534467
10150716032
1178091205
1242583b14
13252bcaac
141603394c
15d371907
hex8fbbe80

150716032 has 64 divisors (see below), whose sum is σ = 311018400. Its totient is φ = 72705024.

The previous prime is 150716011. The next prime is 150716039. The reversal of 150716032 is 230617051.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 150715988 and 150716006.

It is not an unprimeable number, because it can be changed into a prime (150716039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 764958 + ... + 765154.

Almost surely, 2150716032 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 150716032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155509200).

150716032 is an abundant number, since it is smaller than the sum of its proper divisors (160302368).

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

150716032 is a wasteful number, since it uses less digits than its factorization.

150716032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 150716032 is about 12276.6457959819. The cubic root of 150716032 is about 532.1733846075.

The spelling of 150716032 in words is "one hundred fifty million, seven hundred sixteen thousand, thirty-two".

Divisors: 1 2 4 8 16 32 43 64 86 128 139 172 197 278 344 394 556 688 788 1112 1376 1576 2224 2752 3152 4448 5504 5977 6304 8471 8896 11954 12608 16942 17792 23908 25216 27383 33884 47816 54766 67768 95632 109532 135536 191264 219064 271072 382528 438128 542144 765056 876256 1084288 1177469 1752512 2354938 3505024 4709876 9419752 18839504 37679008 75358016 150716032