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10916412 = 223131929127
BaseRepresentation
bin101001101001…
…001000111100
3202112121111120
4221221020330
510243311122
61025550540
7161534163
oct51511074
922477446
1010916412
116186731
1237a5450
132352a20
1416423da
15e5975c
hexa6923c

10916412 has 96 divisors (see below), whose sum is σ = 30105600. Its totient is φ = 3048192.

The previous prime is 10916401. The next prime is 10916413. The reversal of 10916412 is 21461901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10916413) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 85893 + ... + 86019.

It is an arithmetic number, because the mean of its divisors is an integer number (313600).

Almost surely, 210916412 is an apocalyptic number.

10916412 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 10916412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15052800).

10916412 is an abundant number, since it is smaller than the sum of its proper divisors (19189188).

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

10916412 is a wasteful number, since it uses less digits than its factorization.

10916412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 10916412 is about 3303.9993946731. Note that the first 3 decimals coincide. The cubic root of 10916412 is about 221.8332486936.

It can be divided in two parts, 1091 and 6412, that added together give a triangular number (7503 = T122).

The spelling of 10916412 in words is "ten million, nine hundred sixteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 13 19 26 29 38 39 52 57 58 76 78 87 114 116 127 156 174 228 247 254 348 377 381 494 508 551 741 754 762 988 1102 1131 1482 1508 1524 1651 1653 2204 2262 2413 2964 3302 3306 3683 4524 4826 4953 6604 6612 7163 7239 7366 9652 9906 11049 14326 14478 14732 19812 21489 22098 28652 28956 31369 42978 44196 47879 62738 69977 85956 94107 95758 125476 139954 143637 188214 191516 209931 279908 287274 376428 419862 574548 839724 909701 1819402 2729103 3638804 5458206 10916412