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10040814 = 2337101263
BaseRepresentation
bin100110010011…
…010111101110
3200220010102000
4212103113232
510032301224
6555113130
7151226340
oct46232756
920803360
1010040814
1157388a3
1234427a6
132107314
141495290
15d350c9
hex9935ee

10040814 has 64 divisors (see below), whose sum is σ = 25850880. Its totient is φ = 2829600.

The previous prime is 10040809. The next prime is 10040819. The reversal of 10040814 is 41804001.

It is an interprime number because it is at equal distance from previous prime (10040809) and next prime (10040819).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10040819) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38047 + ... + 38309.

It is an arithmetic number, because the mean of its divisors is an integer number (403920).

Almost surely, 210040814 is an apocalyptic number.

10040814 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 10040814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12925440).

10040814 is an abundant number, since it is smaller than the sum of its proper divisors (15810066).

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

10040814 is a wasteful number, since it uses less digits than its factorization.

10040814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 10040814 is about 3168.7243490086. The cubic root of 10040814 is about 215.7361748053.

Adding to 10040814 its reverse (41804001), we get a palindrome (51844815).

The spelling of 10040814 in words is "ten million, forty thousand, eight hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 101 126 189 202 263 303 378 526 606 707 789 909 1414 1578 1818 1841 2121 2367 2727 3682 4242 4734 5454 5523 6363 7101 11046 12726 14202 16569 19089 26563 33138 38178 49707 53126 79689 99414 159378 185941 239067 371882 478134 557823 717201 1115646 1434402 1673469 3346938 5020407 10040814