Search a number
-
+
10640916 = 22331113253
BaseRepresentation
bin101000100101…
…111000010100
3202000121121000
4220211320110
510211002131
61020023300
7156306036
oct50457024
922017530
1010640916
116008750
123691b30
132287500
1415adc56
15e02ce6
hexa25e14

10640916 has 144 divisors (see below), whose sum is σ = 33203520. Its totient is φ = 2920320.

The previous prime is 10640911. The next prime is 10640923. The reversal of 10640916 is 61904601.

10640916 is a `hidden beast` number, since 1 + 0 + 640 + 9 + 16 = 666.

It is a super-2 number, since 2×106409162 = 226458186638112, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10640916.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10640911) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200746 + ... + 200798.

It is an arithmetic number, because the mean of its divisors is an integer number (230580).

Almost surely, 210640916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10640916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16601760).

10640916 is an abundant number, since it is smaller than the sum of its proper divisors (22562604).

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

10640916 is a wasteful number, since it uses less digits than its factorization.

10640916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10640916 is about 3262.0416919469. The cubic root of 10640916 is about 219.9512012979.

The spelling of 10640916 in words is "ten million, six hundred forty thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 53 54 66 78 99 106 108 117 132 143 156 159 169 198 212 234 286 297 318 338 351 396 429 468 477 507 572 583 594 636 676 689 702 858 954 1014 1166 1188 1287 1378 1404 1431 1521 1716 1749 1859 1908 2028 2067 2332 2574 2756 2862 3042 3498 3718 3861 4134 4563 5148 5247 5577 5724 6084 6201 6996 7436 7579 7722 8268 8957 9126 10494 11154 12402 15158 15444 15741 16731 17914 18252 18603 20988 22308 22737 24804 26871 30316 31482 33462 35828 37206 45474 50193 53742 62964 66924 68211 74412 80613 90948 98527 100386 107484 136422 161226 197054 200772 204633 241839 272844 295581 322452 394108 409266 483678 591162 818532 886743 967356 1182324 1773486 2660229 3546972 5320458 10640916