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10040436 = 2234719233
BaseRepresentation
bin100110010011…
…010001110100
3200220002220000
4212103101310
510032243221
6555111300
7151225260
oct46232164
920802800
1010040436
11573858a
123442530
1321070b3
1414950a0
15d34e26
hex993474

10040436 has 120 divisors (see below), whose sum is σ = 31711680. Its totient is φ = 2706048.

The previous prime is 10040413. The next prime is 10040447. The reversal of 10040436 is 63404001.

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

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 39 ways as a sum of consecutive naturals, for example, 42976 + ... + 43208.

It is an arithmetic number, because the mean of its divisors is an integer number (264264).

Almost surely, 210040436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10040436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15855840).

10040436 is an abundant number, since it is smaller than the sum of its proper divisors (21671244).

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

10040436 is a wasteful number, since it uses less digits than its factorization.

10040436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 10040436 is about 3168.6647029940. The cubic root of 10040436 is about 215.7334675448.

Adding to 10040436 its reverse (63404001), we get a palindrome (73444437).

The spelling of 10040436 in words is "ten million, forty thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 81 84 108 114 126 133 162 171 189 228 233 252 266 324 342 378 399 466 513 532 567 684 699 756 798 932 1026 1134 1197 1398 1539 1596 1631 2052 2097 2268 2394 2796 3078 3262 3591 4194 4427 4788 4893 6156 6291 6524 7182 8388 8854 9786 10773 12582 13281 14364 14679 17708 18873 19572 21546 25164 26562 29358 30989 37746 39843 43092 44037 53124 58716 61978 75492 79686 88074 92967 119529 123956 132111 159372 176148 185934 239058 264222 278901 358587 371868 478116 528444 557802 717174 836703 1115604 1434348 1673406 2510109 3346812 5020218 10040436