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690559020 = 223452914699
BaseRepresentation
bin101001001010010…
…001100000101100
31210010102000220000
4221022101200230
52403240342040
6152305024300
723053440414
oct5112214054
91703360800
10690559020
11324891238
12173325090
13b00b5108
14679db644
154095a130
hex2929182c

690559020 has 120 divisors (see below), whose sum is σ = 2241162000. Its totient is φ = 177787008.

The previous prime is 690559019. The next prime is 690559031. The reversal of 690559020 is 20955096.

690559020 is a `hidden beast` number, since 69 + 0 + 5 + 590 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39631 + ... + 54329.

It is an arithmetic number, because the mean of its divisors is an integer number (18676350).

Almost surely, 2690559020 is an apocalyptic number.

690559020 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 690559020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120581000).

690559020 is an abundant number, since it is smaller than the sum of its proper divisors (1550602980).

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

690559020 is a wasteful number, since it uses less digits than its factorization.

690559020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14749 (or 14738 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 690559020 is about 26278.4896826283. The cubic root of 690559020 is about 883.8941660595.

The spelling of 690559020 in words is "six hundred ninety million, five hundred fifty-nine thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 81 87 90 108 116 135 145 162 174 180 261 270 290 324 348 405 435 522 540 580 783 810 870 1044 1305 1566 1620 1740 2349 2610 3132 3915 4698 5220 7830 9396 11745 14699 15660 23490 29398 44097 46980 58796 73495 88194 132291 146990 176388 220485 264582 293980 396873 426271 440970 529164 661455 793746 852542 881940 1190619 1278813 1322910 1587492 1705084 1984365 2131355 2381238 2557626 2645820 3836439 3968730 4262710 4762476 5115252 5953095 6394065 7672878 7937460 8525420 11509317 11906190 12788130 15345756 19182195 23018634 23812380 25576260 34527951 38364390 46037268 57546585 69055902 76728780 115093170 138111804 172639755 230186340 345279510 690559020