Search a number
-
+
150110442 = 233171011619
BaseRepresentation
bin10001111001010…
…00000011101010
3101110110101211000
420330220003222
5301412013232
622521215430
73501626526
oct1074500352
9343411730
10150110442
1177808219
1242331576
132513a261
1415d16d86
15d2a227c
hex8f280ea

150110442 has 64 divisors (see below), whose sum is σ = 356918400. Its totient is φ = 46598400.

The previous prime is 150110437. The next prime is 150110453. The reversal of 150110442 is 244011051.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91909 + ... + 93527.

It is an arithmetic number, because the mean of its divisors is an integer number (5576850).

Almost surely, 2150110442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150110442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178459200).

150110442 is an abundant number, since it is smaller than the sum of its proper divisors (206807958).

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

150110442 is a wasteful number, since it uses less digits than its factorization.

150110442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 150110442 is about 12251.9566600605. The cubic root of 150110442 is about 531.4596549754.

Adding to 150110442 its reverse (244011051), we get a palindrome (394121493).

It can be divided in two parts, 150 and 110442, that added together give a cube (110592 = 483).

The spelling of 150110442 in words is "one hundred fifty million, one hundred ten thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 101 102 153 202 303 306 459 606 909 918 1619 1717 1818 2727 3238 3434 4857 5151 5454 9714 10302 14571 15453 27523 29142 30906 43713 46359 55046 82569 87426 92718 163519 165138 247707 327038 490557 495414 743121 981114 1471671 1486242 2779823 2943342 4415013 5559646 8339469 8830026 16678938 25018407 50036814 75055221 150110442