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690041430 = 234513193449
BaseRepresentation
bin101001001000010…
…011001001010110
31210002102201220000
4221020103021112
52403122311210
6152245552130
723046153411
oct5110231126
91702381800
10690041430
11324568381
12173115646
13acc63650
1467904b78
15408a6ac0
hex29213256

690041430 has 160 divisors (see below), whose sum is σ = 2103948000. Its totient is φ = 160869888.

The previous prime is 690041389. The next prime is 690041459. The reversal of 690041430 is 34140096.

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

It is a junction number, because it is equal to n+sod(n) for n = 690041394 and 690041403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 198346 + ... + 201794.

It is an arithmetic number, because the mean of its divisors is an integer number (13149675).

Almost surely, 2690041430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 690041430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051974000).

690041430 is an abundant number, since it is smaller than the sum of its proper divisors (1413906570).

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

690041430 is a wasteful number, since it uses less digits than its factorization.

690041430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3500 (or 3491 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 690041430 is about 26268.6396678625. The cubic root of 690041430 is about 883.6732778048.

The spelling of 690041430 in words is "six hundred ninety million, forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 27 30 38 39 45 54 57 65 78 81 90 95 114 117 130 135 162 171 190 195 234 247 270 285 342 351 390 405 494 513 570 585 702 741 810 855 1026 1053 1170 1235 1482 1539 1710 1755 2106 2223 2470 2565 3078 3449 3510 3705 4446 5130 5265 6669 6898 7410 7695 10347 10530 11115 13338 15390 17245 20007 20694 22230 31041 33345 34490 40014 44837 51735 62082 65531 66690 89674 93123 100035 103470 131062 134511 155205 186246 196593 200070 224185 269022 279369 310410 327655 393186 403533 448370 465615 558738 589779 655310 672555 807066 851903 931230 982965 1179558 1210599 1345110 1396845 1703806 1769337 1965930 2017665 2421198 2555709 2793690 2948895 3538674 3631797 4035330 4259515 5111418 5308011 5897790 6052995 7263594 7667127 8519030 8846685 10616022 12105990 12778545 15334254 17693370 18158985 23001381 25557090 26540055 36317970 38335635 46002762 53080110 69004143 76671270 115006905 138008286 230013810 345020715 690041430