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2975040 = 263251033
BaseRepresentation
bin1011010110010101000000
312121010222200
423112111000
51230200130
6143433200
734200405
oct13262500
95533880
102975040
111752212
12bb5800
138021a3
145762ac
153db760
hex2d6540

2975040 has 84 divisors (see below), whose sum is σ = 10242804. Its totient is φ = 792576.

The previous prime is 2975029. The next prime is 2975047. The reversal of 2975040 is 405792.

It can be written as a sum of positive squares in 2 ways, for example, as 2143296 + 831744 = 1464^2 + 912^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2974995 and 2975013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2975047) 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, 2364 + ... + 3396.

22975040 is an apocalyptic number.

2975040 is a gapful number since it is divisible by the number (20) 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 2975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5121402).

2975040 is an abundant number, since it is smaller than the sum of its proper divisors (7267764).

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

2975040 is a wasteful number, since it uses less digits than its factorization.

2975040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2975040 is about 1724.8304264478. The cubic root of 2975040 is about 143.8238587053.

The spelling of 2975040 in words is "two million, nine hundred seventy-five thousand, forty".

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 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1033 1440 2066 2880 3099 4132 5165 6198 8264 9297 10330 12396 15495 16528 18594 20660 24792 30990 33056 37188 41320 46485 49584 61980 66112 74376 82640 92970 99168 123960 148752 165280 185940 198336 247920 297504 330560 371880 495840 595008 743760 991680 1487520 2975040