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10213940 = 22511172731
BaseRepresentation
bin100110111101…
…101000110100
3201012220220002
4212331220310
510103321230
61002530432
7152550152
oct46755064
921186802
1010213940
115846980
123506a18
132168069
1414dc3d2
15d6b545
hex9bda34

10213940 has 48 divisors (see below), whose sum is σ = 24784704. Its totient is φ = 3494400.

The previous prime is 10213937. The next prime is 10213967. The reversal of 10213940 is 4931201.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 2375 + ... + 5105.

It is an arithmetic number, because the mean of its divisors is an integer number (516348).

Almost surely, 210213940 is an apocalyptic number.

10213940 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 10213940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12392352).

10213940 is an abundant number, since it is smaller than the sum of its proper divisors (14570764).

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

10213940 is a wasteful number, since it uses less digits than its factorization.

10213940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768 (or 2766 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 10213940 is about 3195.9255310473. The cubic root of 10213940 is about 216.9690400167.

The spelling of 10213940 in words is "ten million, two hundred thirteen thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 2731 3740 5462 10924 13655 27310 30041 46427 54620 60082 92854 120164 150205 185708 232135 300410 464270 510697 600820 928540 1021394 2042788 2553485 5106970 10213940