Search a number
-
+
16901136 = 2438723
BaseRepresentation
bin100000001111…
…0010000010000
31011210200000000
41000132100100
513311314021
61402130000
7263441310
oct100362020
934720000
1016901136
1195a408a
1257b0900
133669a95
14235d440
15173cb26
hex101e410

16901136 has 180 divisors, whose sum is σ = 58573632. Its totient is φ = 4618944.

The previous prime is 16901099. The next prime is 16901141. The reversal of 16901136 is 63110961.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 734821 + ... + 734843.

Almost surely, 216901136 is an apocalyptic number.

16901136 is a gapful number since it is divisible by the number (16) 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 16901136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29286816).

16901136 is an abundant number, since it is smaller than the sum of its proper divisors (41672496).

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

16901136 is an frugal number, since it uses more digits than its factorization.

16901136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 16901136 is about 4111.0991231056. The cubic root of 16901136 is about 256.6287442333.

The spelling of 16901136 in words is "sixteen million, nine hundred one thousand, one hundred thirty-six".