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10212940 = 2251134519
BaseRepresentation
bin100110111101…
…011001001100
3201012212112001
4212331121030
510103303230
61002522044
7152544223
oct46753114
921185461
1010212940
115846151
123506324
13216777a
1414dbcba
15d6b0ca
hex9bd64c

10212940 has 24 divisors (see below), whose sum is σ = 21641760. Its totient is φ = 4048128.

The previous prime is 10212931. The next prime is 10212947. The reversal of 10212940 is 4921201.

10212940 is a nontrivial binomial coefficient, being equal to C(4520, 2).

It is a super-5 number, since 5×102129405 (a number of 36 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (10212947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 4519.

It is an arithmetic number, because the mean of its divisors is an integer number (901740).

Almost surely, 210212940 is an apocalyptic number.

10212940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10212940 is the 4519-th triangular number and also the 2260-th hexagonal number.

10212940 is the 1507-th centered nonagonal number.

It is an amenable number.

10212940 is an abundant number, since it is smaller than the sum of its proper divisors (11428820).

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

10212940 is a wasteful number, since it uses less digits than its factorization.

10212940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4641 (or 4639 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 10212940 is about 3195.7690780155. The cubic root of 10212940 is about 216.9619589712.

The spelling of 10212940 in words is "ten million, two hundred twelve thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 113 226 452 565 1130 2260 4519 9038 18076 22595 45190 90380 510647 1021294 2042588 2553235 5106470 10212940