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11106912 = 253127911
BaseRepresentation
bin101010010111…
…101001100000
3202220021211010
4222113221200
510320410122
61034020520
7163256445
oct52275140
922807733
1011106912
1162a6873
123877740
1323bb64b
1416919cc
15e95e0c
hexa97a60

11106912 has 48 divisors (see below), whose sum is σ = 29417472. Its totient is φ = 3669120.

The previous prime is 11106881. The next prime is 11106923. The reversal of 11106912 is 21960111.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 11737 + ... + 12647.

It is an arithmetic number, because the mean of its divisors is an integer number (612864).

Almost surely, 211106912 is an apocalyptic number.

11106912 is a gapful number since it is divisible by the number (12) 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 11106912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14708736).

11106912 is an abundant number, since it is smaller than the sum of its proper divisors (18310560).

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

11106912 is a wasteful number, since it uses less digits than its factorization.

11106912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

The square root of 11106912 is about 3332.7034071456. The cubic root of 11106912 is about 223.1162029188.

The spelling of 11106912 in words is "eleven million, one hundred six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 381 508 762 911 1016 1524 1822 2032 2733 3048 3644 4064 5466 6096 7288 10932 12192 14576 21864 29152 43728 87456 115697 231394 347091 462788 694182 925576 1388364 1851152 2776728 3702304 5553456 11106912