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609969906 = 2337131011229
BaseRepresentation
bin100100010110110…
…110011011110010
31120111202200102000
4210112312123302
52222123014111
6140305434430
721054441630
oct4426663362
91514680360
10609969906
11293348467
1215033ba16
13994a9850
145b020350
153883bc56
hex245b66f2

609969906 has 128 divisors (see below), whose sum is σ = 1686182400. Its totient is φ = 159148800.

The previous prime is 609969839. The next prime is 609969917.

609969906 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 495700 + ... + 496928.

It is an arithmetic number, because the mean of its divisors is an integer number (13173300).

Almost surely, 2609969906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 609969906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843091200).

609969906 is an abundant number, since it is smaller than the sum of its proper divisors (1076212494).

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

609969906 is a wasteful number, since it uses less digits than its factorization.

609969906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 1417176, while the sum is 54.

The square root of 609969906 is about 24697.5688277207. The cubic root of 609969906 is about 848.0786618987.

The spelling of 609969906 in words is "six hundred nine million, nine hundred sixty-nine thousand, nine hundred six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 101 117 126 182 189 202 234 273 303 351 378 546 606 702 707 819 909 1229 1313 1414 1638 1818 2121 2457 2458 2626 2727 3687 3939 4242 4914 5454 6363 7374 7878 8603 9191 11061 11817 12726 15977 17206 18382 19089 22122 23634 25809 27573 31954 33183 35451 38178 47931 51618 55146 66366 70902 77427 82719 95862 111839 124129 143793 154854 165438 223678 232281 248157 248258 287586 335517 372387 431379 464562 496314 671034 744774 862758 868903 1006551 1117161 1613677 1737806 2013102 2234322 2606709 3019653 3227354 3351483 4841031 5213418 6039306 6702966 7820127 9682062 11295739 14523093 15640254 22591478 23460381 29046186 33887217 43569279 46920762 67774434 87138558 101661651 203323302 304984953 609969906