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10291940 = 2252691913
BaseRepresentation
bin100111010000…
…101011100100
3201100212212222
4213100223210
510113320230
61004331512
7153323441
oct47205344
921325788
1010291940
11589a53a
123543b98
132194709
14151c9c8
15d846e5
hex9d0ae4

10291940 has 24 divisors (see below), whose sum is σ = 21704760. Its totient is φ = 4099328.

The previous prime is 10291903. The next prime is 10291951. The reversal of 10291940 is 4919201.

10291940 = T131 + T132 + ... + T399.

It can be written as a sum of positive squares in 4 ways, for example, as 719104 + 9572836 = 848^2 + 3094^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4424 + ... + 6336.

It is an arithmetic number, because the mean of its divisors is an integer number (904365).

Almost surely, 210291940 is an apocalyptic number.

10291940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10291940 is an abundant number, since it is smaller than the sum of its proper divisors (11412820).

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

10291940 is a wasteful number, since it uses less digits than its factorization.

10291940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 10291940 is about 3208.1053598659. The cubic root of 10291940 is about 217.5199435625.

The spelling of 10291940 in words is "ten million, two hundred ninety-one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 269 538 1076 1345 1913 2690 3826 5380 7652 9565 19130 38260 514597 1029194 2058388 2572985 5145970 10291940