Search a number
-
+
1416690 = 23551153
BaseRepresentation
bin101011001110111110010
32122222100000
411121313302
5330313230
650210430
715020202
oct5316762
92588300
101416690
11888420
12583a16
133a7aa2
1428c402
151ceb60
hex159df2

1416690 has 96 divisors (see below), whose sum is σ = 4245696. Its totient is φ = 336960.

The previous prime is 1416671. The next prime is 1416691. The reversal of 1416690 is 966141.

It is a super-2 number, since 2×14166902 = 4014021112200, which contains 22 as substring.

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

It is a Curzon number.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1416691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26704 + ... + 26756.

It is an arithmetic number, because the mean of its divisors is an integer number (44226).

21416690 is an apocalyptic number.

1416690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1416690 is the 972-nd pentagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1416690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122848).

1416690 is an abundant number, since it is smaller than the sum of its proper divisors (2829006).

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

1416690 is a wasteful number, since it uses less digits than its factorization.

1416690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1416690 is about 1190.2478733440. The cubic root of 1416690 is about 112.3116849532.

The spelling of 1416690 in words is "one million, four hundred sixteen thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 53 54 55 66 81 90 99 106 110 135 159 162 165 198 243 265 270 297 318 330 405 477 486 495 530 583 594 795 810 891 954 990 1166 1215 1431 1485 1590 1749 1782 2385 2430 2673 2862 2915 2970 3498 4293 4455 4770 5247 5346 5830 7155 8586 8745 8910 10494 12879 13365 14310 15741 17490 21465 25758 26235 26730 31482 42930 47223 52470 64395 78705 94446 128790 141669 157410 236115 283338 472230 708345 1416690