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150068784 = 24361107479
BaseRepresentation
bin10001111000111…
…01111000110000
3101110101021200010
420330131320300
5301404200114
622520254520
73501364215
oct1074357060
9343337603
10150068784
1177789998
1242311440
13251242c8
1415d05b0c
15d294c59
hex8f1de30

150068784 has 80 divisors (see below), whose sum is σ = 398545920. Its totient is φ = 48641280.

The previous prime is 150068773. The next prime is 150068803. The reversal of 150068784 is 487860051.

150068784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 313057 + ... + 313535.

It is an arithmetic number, because the mean of its divisors is an integer number (4981824).

Almost surely, 2150068784 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 150068784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199272960).

150068784 is an abundant number, since it is smaller than the sum of its proper divisors (248477136).

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

150068784 is a wasteful number, since it uses less digits than its factorization.

150068784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 150068784 is about 12250.2564871108. The cubic root of 150068784 is about 531.4104876327.

The spelling of 150068784 in words is "one hundred fifty million, sixty-eight thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 107 122 183 214 244 321 366 428 479 488 642 732 856 958 976 1284 1437 1464 1712 1916 2568 2874 2928 3832 5136 5748 6527 7664 11496 13054 19581 22992 26108 29219 39162 51253 52216 58438 78324 87657 102506 104432 116876 153759 156648 175314 205012 233752 307518 313296 350628 410024 467504 615036 701256 820048 1230072 1402512 2460144 3126433 6252866 9379299 12505732 18758598 25011464 37517196 50022928 75034392 150068784