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10541412 = 2232759709
BaseRepresentation
bin101000001101…
…100101100100
3201211120002200
4220031211210
510144311122
61013534500
7155412660
oct50154544
921746080
1010541412
115a4aa12
123644430
13225112b
1415858a0
15dd35ac
hexa0d964

10541412 has 72 divisors (see below), whose sum is σ = 31012800. Its totient is φ = 2956608.

The previous prime is 10541389. The next prime is 10541423. The reversal of 10541412 is 21414501.

It is a super-3 number, since 3×105414123 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14514 + ... + 15222.

Almost surely, 210541412 is an apocalyptic number.

10541412 is a gapful number since it is divisible by the number (12) 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 10541412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15506400).

10541412 is an abundant number, since it is smaller than the sum of its proper divisors (20471388).

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

10541412 is a wasteful number, since it uses less digits than its factorization.

10541412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 10541412 is about 3246.7540713765. The cubic root of 10541412 is about 219.2634597462.

Adding to 10541412 its reverse (21414501), we get a palindrome (31955913).

The spelling of 10541412 in words is "ten million, five hundred forty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 59 63 84 118 126 177 236 252 354 413 531 708 709 826 1062 1239 1418 1652 2124 2127 2478 2836 3717 4254 4956 4963 6381 7434 8508 9926 12762 14868 14889 19852 25524 29778 41831 44667 59556 83662 89334 125493 167324 178668 250986 292817 376479 501972 585634 752958 878451 1171268 1505916 1756902 2635353 3513804 5270706 10541412