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150568768 = 2673193
BaseRepresentation
bin10001111100101…
…11111101000000
3101111022200112001
420332113331000
5302021200033
622535113344
73505546000
oct1076277500
9344280461
10150568768
1177aa05a9
1242512854
132526aa5c
1415dd6000
15d342e7d
hex8f97f40

150568768 has 112 divisors (see below), whose sum is σ = 367792000. Its totient is φ = 61133184.

The previous prime is 150568753. The next prime is 150568807. The reversal of 150568768 is 867865051.

The cubic root of 150568768 is 532.

It is a perfect power (a cube), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

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, 7924663 + ... + 7924681.

Almost surely, 2150568768 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 150568768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183896000).

150568768 is an abundant number, since it is smaller than the sum of its proper divisors (217223232).

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

150568768 is an frugal number, since it uses more digits than its factorization.

150568768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 46.

The square root of 150568768 is about 12270.6466007297.

The spelling of 150568768 in words is "one hundred fifty million, five hundred sixty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 64 76 98 112 133 152 196 224 266 304 343 361 392 448 532 608 686 722 784 931 1064 1216 1372 1444 1568 1862 2128 2527 2744 2888 3136 3724 4256 5054 5488 5776 6517 6859 7448 8512 10108 10976 11552 13034 13718 14896 17689 20216 21952 23104 26068 27436 29792 35378 40432 48013 52136 54872 59584 70756 80864 96026 104272 109744 123823 141512 161728 192052 208544 219488 247646 283024 336091 384104 417088 438976 495292 566048 672182 768208 990584 1132096 1344364 1536416 1981168 2352637 2688728 3072832 3962336 4705274 5377456 7924672 9410548 10754912 18821096 21509824 37642192 75284384 150568768