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5414904 = 2333114353
BaseRepresentation
bin10100101001111111111000
3101012002212000
4110221333320
52341234104
6312021000
764011615
oct24517770
911162760
105414904
113069330
121991760
1311778b1
14a0d50c
1571e639
hex529ff8

5414904 has 128 divisors (see below), whose sum is σ = 17107200. Its totient is φ = 1572480.

The previous prime is 5414887. The next prime is 5414951. The reversal of 5414904 is 4094145.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 102142 + ... + 102194.

It is an arithmetic number, because the mean of its divisors is an integer number (133650).

Almost surely, 25414904 is an apocalyptic number.

5414904 is a gapful number since it is divisible by the number (54) 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 5414904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8553600).

5414904 is an abundant number, since it is smaller than the sum of its proper divisors (11692296).

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

5414904 is a wasteful number, since it uses less digits than its factorization.

5414904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5414904 is about 2326.9946282706. The cubic root of 5414904 is about 175.6023218059.

It can be divided in two parts, 541 and 4904, that added together give a palindrome (5445).

The spelling of 5414904 in words is "five million, four hundred fourteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 43 44 53 54 66 72 86 88 99 106 108 129 132 159 172 198 212 216 258 264 297 318 344 387 396 424 473 477 516 583 594 636 774 792 946 954 1032 1161 1166 1188 1272 1419 1431 1548 1749 1892 1908 2279 2322 2332 2376 2838 2862 3096 3498 3784 3816 4257 4558 4644 4664 5247 5676 5724 6837 6996 8514 9116 9288 10494 11352 11448 12771 13674 13992 15741 17028 18232 20511 20988 25069 25542 27348 31482 34056 41022 41976 50138 51084 54696 61533 62964 75207 82044 100276 102168 123066 125928 150414 164088 200552 225621 246132 300828 451242 492264 601656 676863 902484 1353726 1804968 2707452 5414904