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6750720 = 29325293
BaseRepresentation
bin11001110000001000000000
3110200222020200
4121300020000
53212010340
6400405200
7111244254
oct31601000
913628220
106750720
1138a0a09
122316800
131524912
14c7a264
158d5330
hex670200

6750720 has 120 divisors (see below), whose sum is σ = 23459436. Its totient is φ = 1794048.

The previous prime is 6750713. The next prime is 6750727. The reversal of 6750720 is 270576.

It is an interprime number because it is at equal distance from previous prime (6750713) and next prime (6750727).

It can be written as a sum of positive squares in 2 ways, for example, as 6471936 + 278784 = 2544^2 + 528^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (6750727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22894 + ... + 23186.

Almost surely, 26750720 is an apocalyptic number.

6750720 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 6750720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11729718).

6750720 is an abundant number, since it is smaller than the sum of its proper divisors (16708716).

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

6750720 is a wasteful number, since it uses less digits than its factorization.

6750720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 6750720 is about 2598.2147717231. The cubic root of 6750720 is about 188.9948768243.

The spelling of 6750720 in words is "six million, seven hundred fifty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 293 320 360 384 480 512 576 586 640 720 768 879 960 1152 1172 1280 1440 1465 1536 1758 1920 2304 2344 2560 2637 2880 2930 3516 3840 4395 4608 4688 5274 5760 5860 7032 7680 8790 9376 10548 11520 11720 13185 14064 17580 18752 21096 23040 23440 26370 28128 35160 37504 42192 46880 52740 56256 70320 75008 84384 93760 105480 112512 140640 150016 168768 187520 210960 225024 281280 337536 375040 421920 450048 562560 675072 750080 843840 1125120 1350144 1687680 2250240 3375360 6750720