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11040948 = 223537307
BaseRepresentation
bin101010000111…
…100010110100
3202202221100000
4222013202310
510311302243
61032351300
7162563232
oct52074264
922687300
1011040948
116261256
123845530
132397609
141675952
15e815d3
hexa878b4

11040948 has 72 divisors (see below), whose sum is σ = 29821792. Its totient is φ = 3569184.

The previous prime is 11040947. The next prime is 11040959. The reversal of 11040948 is 84904011.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11040941) 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 23 ways as a sum of consecutive naturals, for example, 35811 + ... + 36117.

Almost surely, 211040948 is an apocalyptic number.

11040948 is a gapful number since it is divisible by the number (18) 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 11040948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14910896).

11040948 is an abundant number, since it is smaller than the sum of its proper divisors (18780844).

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

11040948 is a wasteful number, since it uses less digits than its factorization.

11040948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 11040948 is about 3322.7921993408. The cubic root of 11040948 is about 222.6736295686.

Adding to 11040948 its reverse (84904011), we get a palindrome (95944959).

The spelling of 11040948 in words is "eleven million, forty thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 243 307 324 333 444 486 614 666 921 972 999 1228 1332 1842 1998 2763 2997 3684 3996 5526 5994 8289 8991 11052 11359 11988 16578 17982 22718 24867 33156 34077 35964 45436 49734 68154 74601 99468 102231 136308 149202 204462 298404 306693 408924 613386 920079 1226772 1840158 2760237 3680316 5520474 11040948