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1023414 = 2372592
BaseRepresentation
bin11111001110110110110
31220222212020
43321312312
5230222124
633534010
711461500
oct3716666
91828766
101023414
116399a7
12414306
1329aa92
141c8d70
15153379
hexf9db6

1023414 has 36 divisors (see below), whose sum is σ = 2422044. Its totient is φ = 287448.

The previous prime is 1023413. The next prime is 1023419. The reversal of 1023414 is 4143201.

1023414 is nontrivially palindromic in base 13.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1023393 and 1023402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023413) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17317 + ... + 17375.

It is an arithmetic number, because the mean of its divisors is an integer number (67279).

21023414 is an apocalyptic number.

1023414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211022).

1023414 is an abundant number, since it is smaller than the sum of its proper divisors (1398630).

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

1023414 is an equidigital number, since it uses as much as digits as its factorization.

1023414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1023414 is about 1011.6392637695. The cubic root of 1023414 is about 100.7744534026.

Multiplying 1023414 by its product of nonzero digits (96), we get a square (98247744 = 99122).

Adding to 1023414 its reverse (4143201), we get a palindrome (5166615).

The spelling of 1023414 in words is "one million, twenty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 59 98 118 147 177 294 354 413 826 1239 2478 2891 3481 5782 6962 8673 10443 17346 20886 24367 48734 73101 146202 170569 341138 511707 1023414