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11385036 = 2235131753
BaseRepresentation
bin101011011011…
…100011001100
3210102102100000
4223123203030
510403310121
61044004300
7165525345
oct53334314
923372300
1011385036
116476823
123990690
132488110
1417250cc
15eed526
hexadb8cc

11385036 has 144 divisors (see below), whose sum is σ = 34673184. Its totient is φ = 3234816.

The previous prime is 11385001. The next prime is 11385041. The reversal of 11385036 is 63058311.

11385036 = 2782 + 2792 + ... + 3812.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214786 + ... + 214838.

It is an arithmetic number, because the mean of its divisors is an integer number (240786).

Almost surely, 211385036 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 11385036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17336592).

11385036 is an abundant number, since it is smaller than the sum of its proper divisors (23288148).

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

11385036 is a wasteful number, since it uses less digits than its factorization.

11385036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 11385036 is about 3374.1718984071. The cubic root of 11385036 is about 224.9631939795.

The spelling of 11385036 in words is "eleven million, three hundred eighty-five thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 27 34 36 39 51 52 53 54 68 78 81 102 106 108 117 153 156 159 162 204 212 221 234 243 306 318 324 351 442 459 468 477 486 612 636 663 689 702 884 901 918 954 972 1053 1326 1377 1378 1404 1431 1802 1836 1908 1989 2067 2106 2652 2703 2754 2756 2862 3159 3604 3978 4131 4134 4212 4293 5406 5508 5724 5967 6201 6318 7956 8109 8262 8268 8586 10812 11713 11934 12402 12636 12879 16218 16524 17172 17901 18603 23426 23868 24327 24804 25758 32436 35139 35802 37206 46852 48654 51516 53703 55809 70278 71604 72981 74412 97308 105417 107406 111618 140556 145962 167427 210834 214812 218943 223236 291924 316251 334854 421668 437886 632502 669708 875772 948753 1265004 1897506 2846259 3795012 5692518 11385036