Search a number
-
+
10814804 = 22711133773
BaseRepresentation
bin101001010000…
…010101010100
3202100110010022
4221100111110
510232033204
61023444312
7160632020
oct51202524
922313108
1010814804
116117360
123756698
1323186c0
141617380
15e395be
hexa50554

10814804 has 96 divisors (see below), whose sum is σ = 26455296. Its totient is φ = 3732480.

The previous prime is 10814779. The next prime is 10814813. The reversal of 10814804 is 40841801.

10814804 = T337 + T338 + ... + T468.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148112 + ... + 148184.

It is an arithmetic number, because the mean of its divisors is an integer number (275576).

Almost surely, 210814804 is an apocalyptic number.

10814804 is a gapful number since it is divisible by the number (14) 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 10814804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13227648).

10814804 is an abundant number, since it is smaller than the sum of its proper divisors (15640492).

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

10814804 is a wasteful number, since it uses less digits than its factorization.

10814804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 10814804 is about 3288.5869305828. The cubic root of 10814804 is about 221.1428408479.

It can be divided in two parts, 1081 and 4804, that added together give a palindrome (5885).

The spelling of 10814804 in words is "ten million, eight hundred fourteen thousand, eight hundred four".

Divisors: 1 2 4 7 11 13 14 22 26 28 37 44 52 73 74 77 91 143 146 148 154 182 259 286 292 308 364 407 481 511 518 572 803 814 949 962 1001 1022 1036 1606 1628 1898 1924 2002 2044 2701 2849 3212 3367 3796 4004 5291 5402 5621 5698 6643 6734 10439 10582 10804 11242 11396 13286 13468 18907 20878 21164 22484 26572 29711 35113 37037 37814 41756 59422 70226 73073 74074 75628 118844 140452 146146 148148 207977 245791 292292 386243 415954 491582 772486 831908 983164 1544972 2703701 5407402 10814804