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6630240 = 253519727
BaseRepresentation
bin11001010010101101100000
3110110211222110
4121102231200
53144131430
6354035320
7110233101
oct31225540
913424873
106630240
113819441
122278b40
1314b1b26
14c483a8
158ae7b0
hex652b60

6630240 has 96 divisors (see below), whose sum is σ = 22014720. Its totient is φ = 1672704.

The previous prime is 6630229. The next prime is 6630257. The reversal of 6630240 is 420366.

It is a tau number, because it is divible by the number of its divisors (96).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8757 + ... + 9483.

It is an arithmetic number, because the mean of its divisors is an integer number (229320).

Almost surely, 26630240 is an apocalyptic number.

6630240 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 6630240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11007360).

6630240 is an abundant number, since it is smaller than the sum of its proper divisors (15384480).

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

6630240 is a wasteful number, since it uses less digits than its factorization.

6630240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 6630240 is about 2574.9252416332. The cubic root of 6630240 is about 187.8637914853.

Adding to 6630240 its sum of digits (21), we get a triangular number (6630261 = T3641).

The spelling of 6630240 in words is "six million, six hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 727 760 912 1140 1454 1520 1824 2181 2280 2908 3040 3635 4362 4560 5816 7270 8724 9120 10905 11632 13813 14540 17448 21810 23264 27626 29080 34896 41439 43620 55252 58160 69065 69792 82878 87240 110504 116320 138130 165756 174480 207195 221008 276260 331512 348960 414390 442016 552520 663024 828780 1105040 1326048 1657560 2210080 3315120 6630240