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10162940 = 2251771421
BaseRepresentation
bin100110110001…
…001011111100
3201010022221012
4212301023330
510100203230
61001454352
7152245364
oct46611374
921108835
1010162940
115811627
1234a13b8
13214aa98
1414c79a4
15d5b395
hex9b12fc

10162940 has 48 divisors (see below), whose sum is σ = 22970304. Its totient is φ = 3763200.

The previous prime is 10162939. The next prime is 10162949. The reversal of 10162940 is 4926101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10162949) 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 15 ways as a sum of consecutive naturals, for example, 23930 + ... + 24350.

It is an arithmetic number, because the mean of its divisors is an integer number (478548).

Almost surely, 210162940 is an apocalyptic number.

10162940 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 10162940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11485152).

10162940 is an abundant number, since it is smaller than the sum of its proper divisors (12807364).

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

10162940 is a wasteful number, since it uses less digits than its factorization.

10162940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 10162940 is about 3187.9366367605. The cubic root of 10162940 is about 216.6073157621.

The spelling of 10162940 in words is "ten million, one hundred sixty-two thousand, nine hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 71 85 142 170 284 340 355 421 710 842 1207 1420 1684 2105 2414 4210 4828 6035 7157 8420 12070 14314 24140 28628 29891 35785 59782 71570 119564 143140 149455 298910 508147 597820 1016294 2032588 2540735 5081470 10162940