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11148500 = 2253112027
BaseRepresentation
bin101010100001…
…110011010100
3202222101212102
4222201303110
510323223000
61034541232
7163521626
oct52416324
922871772
1011148500
116325040
123897818
13240455c
1416a2c16
15ea33d5
hexaa1cd4

11148500 has 48 divisors (see below), whose sum is σ = 26574912. Its totient is φ = 4052000.

The previous prime is 11148469. The next prime is 11148503. The reversal of 11148500 is 584111.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11148503) 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 15 ways as a sum of consecutive naturals, for example, 4487 + ... + 6513.

It is an arithmetic number, because the mean of its divisors is an integer number (553644).

Almost surely, 211148500 is an apocalyptic number.

11148500 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 11148500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13287456).

11148500 is an abundant number, since it is smaller than the sum of its proper divisors (15426412).

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

11148500 is a wasteful number, since it uses less digits than its factorization.

11148500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

The square root of 11148500 is about 3338.9369565776. The cubic root of 11148500 is about 223.3943300137.

The spelling of 11148500 in words is "eleven million, one hundred forty-eight thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 125 220 250 275 500 550 1100 1375 2027 2750 4054 5500 8108 10135 20270 22297 40540 44594 50675 89188 101350 111485 202700 222970 253375 445940 506750 557425 1013500 1114850 2229700 2787125 5574250 11148500