Search a number
-
+
690335040 = 26354117539
BaseRepresentation
bin101001001001011…
…010110101000000
31210002222122122110
4221021122311000
52403211210130
6152300135320
723051515413
oct5111326500
91702878573
10690335040
11324748a2a
12173237540
13b0037195
146797db7a
1540913ab0
hex2925ad40

690335040 has 112 divisors (see below), whose sum is σ = 2245400640. Its totient is φ = 179589120.

The previous prime is 690335039. The next prime is 690335047. The reversal of 690335040 is 40533096.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 690334989 and 690335007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (690335047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30591 + ... + 48129.

It is an arithmetic number, because the mean of its divisors is an integer number (20048220).

Almost surely, 2690335040 is an apocalyptic number.

690335040 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 690335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122700320).

690335040 is an abundant number, since it is smaller than the sum of its proper divisors (1555065600).

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

690335040 is a wasteful number, since it uses less digits than its factorization.

690335040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17600 (or 17590 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 690335040 is about 26274.2276765655. The cubic root of 690335040 is about 883.7985932373.

The spelling of 690335040 in words is "six hundred ninety million, three hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 160 164 192 205 240 246 320 328 410 480 492 615 656 820 960 984 1230 1312 1640 1968 2460 2624 3280 3936 4920 6560 7872 9840 13120 17539 19680 35078 39360 52617 70156 87695 105234 140312 175390 210468 263085 280624 350780 420936 526170 561248 701560 719099 841872 1052340 1122496 1403120 1438198 1683744 2104680 2157297 2806240 2876396 3367488 3595495 4209360 4314594 5612480 5752792 7190990 8418720 8629188 10786485 11505584 14381980 16837440 17258376 21572970 23011168 28763960 34516752 43145940 46022336 57527920 69033504 86291880 115055840 138067008 172583760 230111680 345167520 690335040