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10212240 = 2435172503
BaseRepresentation
bin100110111101…
…001110010000
3201012211120010
4212331032100
510103242430
61002514520
7152542203
oct46751620
921184503
1010212240
115845675
123505a40
13216735c
1414db93a
15d6acb0
hex9bd390

10212240 has 80 divisors (see below), whose sum is σ = 33533568. Its totient is φ = 2562048.

The previous prime is 10212233. The next prime is 10212277. The reversal of 10212240 is 4221201.

10212240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 2829 + ... + 5331.

Almost surely, 210212240 is an apocalyptic number.

10212240 is a gapful number since it is divisible by the number (10) 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 10212240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16766784).

10212240 is an abundant number, since it is smaller than the sum of its proper divisors (23321328).

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

10212240 is a wasteful number, since it uses less digits than its factorization.

10212240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2536 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 10212240 is about 3195.6595563357. The cubic root of 10212240 is about 216.9570019643.

Adding to 10212240 its reverse (4221201), we get a palindrome (14433441).

The spelling of 10212240 in words is "ten million, two hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 2503 4080 5006 7509 10012 12515 15018 20024 25030 30036 37545 40048 42551 50060 60072 75090 85102 100120 120144 127653 150180 170204 200240 212755 255306 300360 340408 425510 510612 600720 638265 680816 851020 1021224 1276530 1702040 2042448 2553060 3404080 5106120 10212240