Search a number
-
+
6903075240 = 2332523980231
BaseRepresentation
bin1100110110111010…
…01001000110101000
3122211002100120000100
412123131021012220
5103114141401430
63100552505400
7333031112535
oct63335110650
918732316010
106903075240
112a22673666
1214079ab260
138601cb109
14496b29d8c
152a6070960
hex19b7491a8

6903075240 has 96 divisors (see below), whose sum is σ = 22529145600. Its totient is φ = 1833095040.

The previous prime is 6903075229. The next prime is 6903075247. The reversal of 6903075240 is 425703096.

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

It is a junction number, because it is equal to n+sod(n) for n = 6903075195 and 6903075204.

It is not an unprimeable number, because it can be changed into a prime (6903075247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45925 + ... + 126155.

It is an arithmetic number, because the mean of its divisors is an integer number (234678600).

Almost surely, 26903075240 is an apocalyptic number.

6903075240 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 6903075240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11264572800).

6903075240 is an abundant number, since it is smaller than the sum of its proper divisors (15626070360).

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

6903075240 is a wasteful number, since it uses less digits than its factorization.

6903075240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80487 (or 80480 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 6903075240 is about 83084.7473366803. The cubic root of 6903075240 is about 1904.0610496690.

The spelling of 6903075240 in words is "six billion, nine hundred three million, seventy-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 239 360 478 717 956 1195 1434 1912 2151 2390 2868 3585 4302 4780 5736 7170 8604 9560 10755 14340 17208 21510 28680 43020 80231 86040 160462 240693 320924 401155 481386 641848 722079 802310 962772 1203465 1444158 1604620 1925544 2406930 2888316 3209240 3610395 4813860 5776632 7220790 9627720 14441580 19175209 28883160 38350418 57525627 76700836 95876045 115051254 153401672 172576881 191752090 230102508 287628135 345153762 383504180 460205016 575256270 690307524 767008360 862884405 1150512540 1380615048 1725768810 2301025080 3451537620 6903075240