Search a number
-
+
1016909152 = 25722272857
BaseRepresentation
bin111100100111001…
…100110101100000
32121212111100002221
4330213030311200
54040312043102
6244523520424
734125404500
oct7447146540
92555440087
101016909152
11482022996
12244689114
131328aa7bc
14990ada00
155e421637
hex3c9ccd60

1016909152 has 72 divisors (see below), whose sum is σ = 2339981784. Its totient is φ = 433746432.

The previous prime is 1016909129. The next prime is 1016909177. The reversal of 1016909152 is 2519096101.

It is a happy number.

1016909152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 354508 + ... + 357364.

It is an arithmetic number, because the mean of its divisors is an integer number (32499747).

Almost surely, 21016909152 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 1016909152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169990892).

1016909152 is an abundant number, since it is smaller than the sum of its proper divisors (1323072632).

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

1016909152 is a wasteful number, since it uses less digits than its factorization.

1016909152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3108 (or 3093 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 34.

The square root of 1016909152 is about 31889.0130295687. The cubic root of 1016909152 is about 1005.6049102879.

The spelling of 1016909152 in words is "one billion, sixteen million, nine hundred nine thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 227 392 454 784 908 1568 1589 1816 2857 3178 3632 5714 6356 7264 11123 11428 12712 19999 22246 22856 25424 39998 44492 45712 50848 79996 88984 91424 139993 159992 177968 279986 319984 355936 559972 639968 648539 1119944 1297078 2239888 2594156 4479776 4539773 5188312 9079546 10376624 18159092 20753248 31778411 36318184 63556822 72636368 127113644 145272736 254227288 508454576 1016909152