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16742385 = 32511149227
BaseRepresentation
bin111111110111…
…011111110001
31011111121020100
4333313133301
513241224020
61354503013
7262210422
oct77673761
934447210
1016742385
1194a5890
125734a69
13361274a
14231b649
15170aa90
hexff77f1

16742385 has 48 divisors (see below), whose sum is σ = 32011200. Its totient is φ = 8027520.

The previous prime is 16742377. The next prime is 16742393. The reversal of 16742385 is 58324761.

It is an interprime number because it is at equal distance from previous prime (16742377) and next prime (16742393).

It is not a de Polignac number, because 16742385 - 23 = 16742377 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73642 + ... + 73868.

It is an arithmetic number, because the mean of its divisors is an integer number (666900).

Almost surely, 216742385 is an apocalyptic number.

16742385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

16742385 is a deficient number, since it is larger than the sum of its proper divisors (15268815).

16742385 is a wasteful number, since it uses less digits than its factorization.

16742385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 395 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 16742385 is about 4091.7459598563. The cubic root of 16742385 is about 255.8227176314.

The spelling of 16742385 in words is "sixteen million, seven hundred forty-two thousand, three hundred eighty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 149 165 227 447 495 681 745 1135 1341 1639 2043 2235 2497 3405 4917 6705 7491 8195 10215 12485 14751 22473 24585 33823 37455 73755 101469 112365 169115 304407 372053 507345 1116159 1522035 1860265 3348477 5580795 16742385