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16392961 = 1337173197
BaseRepresentation
bin111110100010…
…001100000001
31010211211220201
4332202030001
513144033321
61343205201
7256223614
oct76421401
933754821
1016392961
119287302
1255a6801
13351c6a0
14226a17b
15168c291
hexfa2301

16392961 has 16 divisors (see below), whose sum is σ = 18328464. Its totient is φ = 14563584.

The previous prime is 16392949. The next prime is 16392979. The reversal of 16392961 is 16929361.

It can be written as a sum of positive squares in 8 ways, for example, as 5130225 + 11262736 = 2265^2 + 3356^2 .

It is a cyclic number.

It is not a de Polignac number, because 16392961 - 213 = 16384769 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 16392961.

It is not an unprimeable number, because it can be changed into a prime (16392911) 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, 83115 + ... + 83311.

It is an arithmetic number, because the mean of its divisors is an integer number (1145529).

Almost surely, 216392961 is an apocalyptic number.

16392961 is the 2561-st heptagonal number.

It is an amenable number.

16392961 is a deficient number, since it is larger than the sum of its proper divisors (1935503).

16392961 is a wasteful number, since it uses less digits than its factorization.

16392961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420.

The product of its digits is 17496, while the sum is 37.

The square root of 16392961 is about 4048.8221744107. The cubic root of 16392961 is about 254.0304642403.

The spelling of 16392961 in words is "sixteen million, three hundred ninety-two thousand, nine hundred sixty-one".

Divisors: 1 13 37 173 197 481 2249 2561 6401 7289 34081 83213 94757 443053 1260997 16392961