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10385496 = 2334113147
BaseRepresentation
bin100111100111…
…100001011000
3201112122020000
4213213201120
510124313441
61010333000
7154163262
oct47474130
921478200
1010385496
115953860
12358a160
1321c8184
141544b32
15da22b6
hex9e7858

10385496 has 160 divisors (see below), whose sum is σ = 33454080. Its totient is φ = 2980800.

The previous prime is 10385483. The next prime is 10385497. The reversal of 10385496 is 69458301.

10385496 is a `hidden beast` number, since 103 + 8 + 549 + 6 = 666.

10385496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 10385496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10385497) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 220945 + ... + 220991.

It is an arithmetic number, because the mean of its divisors is an integer number (209088).

Almost surely, 210385496 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 10385496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16727040).

10385496 is an abundant number, since it is smaller than the sum of its proper divisors (23068584).

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

10385496 is a wasteful number, since it uses less digits than its factorization.

10385496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 10385496 is about 3222.6535649989. The cubic root of 10385496 is about 218.1770578507.

It can be divided in two parts, 103 and 85496, that multiplied together give a palindrome (8806088).

The spelling of 10385496 in words is "ten million, three hundred eighty-five thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 31 33 36 44 47 54 62 66 72 81 88 93 94 99 108 124 132 141 162 186 188 198 216 248 264 279 282 297 324 341 372 376 396 423 517 558 564 594 648 682 744 792 837 846 891 1023 1034 1116 1128 1188 1269 1364 1457 1551 1674 1692 1782 2046 2068 2232 2376 2511 2538 2728 2914 3069 3102 3348 3384 3564 3807 4092 4136 4371 4653 5022 5076 5828 6138 6204 6696 7128 7614 8184 8742 9207 9306 10044 10152 11656 12276 12408 13113 13959 15228 16027 17484 18414 18612 20088 24552 26226 27621 27918 30456 32054 34968 36828 37224 39339 41877 48081 52452 55242 55836 64108 73656 78678 83754 96162 104904 110484 111672 118017 128216 144243 157356 167508 192324 220968 236034 288486 314712 335016 384648 432729 472068 576972 865458 944136 1153944 1298187 1730916 2596374 3461832 5192748 10385496