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10540404 = 22327151277
BaseRepresentation
bin101000001101…
…010101110100
3201211111201100
4220031111310
510144243104
61013530100
7155410020
oct50152564
921744640
1010540404
115a4a186
123643930
132250834
141585380
15dd3139
hexa0d574

10540404 has 72 divisors (see below), whose sum is σ = 30762368. Its totient is φ = 2980800.

The previous prime is 10540381. The next prime is 10540423. The reversal of 10540404 is 40404501.

It is a super-2 number, since 2×105404042 = 222200232966432, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 37914 + ... + 38190.

Almost surely, 210540404 is an apocalyptic number.

10540404 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 10540404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15381184).

10540404 is an abundant number, since it is smaller than the sum of its proper divisors (20221964).

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

10540404 is a wasteful number, since it uses less digits than its factorization.

10540404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 10540404 is about 3246.5988357048. The cubic root of 10540404 is about 219.2564706568.

Adding to 10540404 its reverse (40404501), we get a palindrome (50944905).

The spelling of 10540404 in words is "ten million, five hundred forty thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 151 252 277 302 453 554 604 831 906 1057 1108 1359 1662 1812 1939 2114 2493 2718 3171 3324 3878 4228 4986 5436 5817 6342 7756 9513 9972 11634 12684 17451 19026 23268 34902 38052 41827 69804 83654 125481 167308 250962 292789 376443 501924 585578 752886 878367 1171156 1505772 1756734 2635101 3513468 5270202 10540404