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10213944 = 23313191723
BaseRepresentation
bin100110111101…
…101000111000
3201012220220020
4212331220320
510103321234
61002530440
7152550156
oct46755070
921186806
1010213944
115846984
123506a20
132168070
1414dc3d6
15d6b549
hex9bda38

10213944 has 64 divisors (see below), whose sum is σ = 28963200. Its totient is φ = 2975616.

The previous prime is 10213937. The next prime is 10213967. The reversal of 10213944 is 44931201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5067 + ... + 6789.

It is an arithmetic number, because the mean of its divisors is an integer number (452550).

Almost surely, 210213944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10213944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14481600).

10213944 is an abundant number, since it is smaller than the sum of its proper divisors (18749256).

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

10213944 is a wasteful number, since it uses less digits than its factorization.

10213944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 10213944 is about 3195.9261568441. The cubic root of 10213944 is about 216.9690683399.

The spelling of 10213944 in words is "ten million, two hundred thirteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 456 494 741 988 1482 1723 1976 2964 3446 5169 5928 6892 10338 13784 20676 22399 32737 41352 44798 65474 67197 89596 98211 130948 134394 179192 196422 261896 268788 392844 425581 537576 785688 851162 1276743 1702324 2553486 3404648 5106972 10213944