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16920137 = 1329371213
BaseRepresentation
bin100000010001…
…0111001001001
31011211122001202
41000202321021
513312421022
61402353545
7263550563
oct100427111
934748052
1016920137
119607393
1257bb8b5
133675620
142366333
151743592
hex1022e49

16920137 has 16 divisors (see below), whose sum is σ = 19375440. Its totient is φ = 14660352.

The previous prime is 16920107. The next prime is 16920143. The reversal of 16920137 is 73102961.

It can be written as a sum of positive squares in 8 ways, for example, as 1008016 + 15912121 = 1004^2 + 3989^2 .

It is a cyclic number.

It is not a de Polignac number, because 16920137 - 26 = 16920073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16920107) 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, 13343 + ... + 14555.

It is an arithmetic number, because the mean of its divisors is an integer number (1210965).

Almost surely, 216920137 is an apocalyptic number.

It is an amenable number.

16920137 is a deficient number, since it is larger than the sum of its proper divisors (2455303).

16920137 is a wasteful number, since it uses less digits than its factorization.

16920137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292.

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 16920137 is about 4113.4094131268. The cubic root of 16920137 is about 256.7248793207.

The spelling of 16920137 in words is "sixteen million, nine hundred twenty thousand, one hundred thirty-seven".

Divisors: 1 13 29 37 377 481 1073 1213 13949 15769 35177 44881 457301 583453 1301549 16920137