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10427340 = 22357113761
BaseRepresentation
bin100111110001…
…101111001100
3201121202121210
4213301233030
510132133330
61011254420
7154426260
oct47615714
921552553
1010427340
115982240
1235aa410
132211231
1415560a0
15dae8b0
hex9f1bcc

10427340 has 192 divisors, whose sum is σ = 37997568. Its totient is φ = 2073600.

The previous prime is 10427321. The next prime is 10427353. The reversal of 10427340 is 4372401.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 170910 + ... + 170970.

It is an arithmetic number, because the mean of its divisors is an integer number (197904).

Almost surely, 210427340 is an apocalyptic number.

10427340 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 10427340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18998784).

10427340 is an abundant number, since it is smaller than the sum of its proper divisors (27570228).

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

10427340 is a wasteful number, since it uses less digits than its factorization.

10427340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 10427340 is about 3229.1392041843. The cubic root of 10427340 is about 218.4696828458.

Adding to 10427340 its reverse (4372401), we get a palindrome (14799741).

It can be divided in two parts, 10 and 427340, that added together give a triangular number (427350 = T924).

The spelling of 10427340 in words is "ten million, four hundred twenty-seven thousand, three hundred forty".