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11006940 = 2235773359
BaseRepresentation
bin101001111111…
…001111011100
3202201012200110
4221333033130
510304210230
61031530020
7162362130
oct51771734
922635613
1011006940
11623874a
123829910
132384ca9
1416673c0
15e764b0
hexa7f3dc

11006940 has 96 divisors (see below), whose sum is σ = 35804160. Its totient is φ = 2474496.

The previous prime is 11006927. The next prime is 11006959. The reversal of 11006940 is 4960011.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30481 + ... + 30839.

It is an arithmetic number, because the mean of its divisors is an integer number (372960).

Almost surely, 211006940 is an apocalyptic number.

11006940 is a gapful number since it is divisible by the number (10) 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 11006940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17902080).

11006940 is an abundant number, since it is smaller than the sum of its proper divisors (24797220).

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

11006940 is a wasteful number, since it uses less digits than its factorization.

11006940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 11006940 is about 3317.6708697519. The cubic root of 11006940 is about 222.4447701995. Note that the first 3 decimals are identical.

Adding to 11006940 its reverse (4960011), we get a palindrome (15966951).

The spelling of 11006940 in words is "eleven million, six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 73 84 105 140 146 210 219 292 359 365 420 438 511 718 730 876 1022 1077 1095 1436 1460 1533 1795 2044 2154 2190 2513 2555 3066 3590 4308 4380 5026 5110 5385 6132 7180 7539 7665 10052 10220 10770 12565 15078 15330 21540 25130 26207 30156 30660 37695 50260 52414 75390 78621 104828 131035 150780 157242 183449 262070 314484 366898 393105 524140 550347 733796 786210 917245 1100694 1572420 1834490 2201388 2751735 3668980 5503470 11006940