Search a number
-
+
16939152 = 2433113347
BaseRepresentation
bin100000010011…
…1100010010000
31011212121011000
41000213202100
513314023102
61403022000
7263660166
oct100474220
934777130
1016939152
11961a6aa
12580a900
133681189
14236d236
15174901c
hex1027890

16939152 has 80 divisors (see below), whose sum is σ = 49193280. Its totient is φ = 5580288.

The previous prime is 16939147. The next prime is 16939159. The reversal of 16939152 is 25193961.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (16939159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48643 + ... + 48989.

It is an arithmetic number, because the mean of its divisors is an integer number (614916).

Almost surely, 216939152 is an apocalyptic number.

16939152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16939152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24596640).

16939152 is an abundant number, since it is smaller than the sum of its proper divisors (32254128).

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

16939152 is a wasteful number, since it uses less digits than its factorization.

16939152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 465 counting only the distinct ones).

The product of its digits is 14580, while the sum is 36.

The square root of 16939152 is about 4115.7201071016. The cubic root of 16939152 is about 256.8210132163.

The spelling of 16939152 in words is "sixteen million, nine hundred thirty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 113 144 216 226 339 347 432 452 678 694 904 1017 1041 1356 1388 1808 2034 2082 2712 2776 3051 3123 4068 4164 5424 5552 6102 6246 8136 8328 9369 12204 12492 16272 16656 18738 24408 24984 37476 39211 48816 49968 74952 78422 117633 149904 156844 235266 313688 352899 470532 627376 705798 941064 1058697 1411596 1882128 2117394 2823192 4234788 5646384 8469576 16939152