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11274100 = 2252112741
BaseRepresentation
bin101011000000…
…011101110100
3210012210011021
4223000131310
510341232400
61041350524
7164554045
oct53003564
923183137
1011274100
116400442
123938444
132449786
1416d68cc
15eca71a
hexac0774

11274100 has 18 divisors (see below), whose sum is σ = 24465014. Its totient is φ = 4509600.

The previous prime is 11274097. The next prime is 11274103. The reversal of 11274100 is 147211.

It is an interprime number because it is at equal distance from previous prime (11274097) and next prime (11274103).

It can be written as a sum of positive squares in 3 ways, for example, as 685584 + 10588516 = 828^2 + 3254^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11274103) 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 5 ways as a sum of consecutive naturals, for example, 56271 + ... + 56470.

Almost surely, 211274100 is an apocalyptic number.

11274100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11274100 is an abundant number, since it is smaller than the sum of its proper divisors (13190914).

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

11274100 is a wasteful number, since it uses less digits than its factorization.

11274100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112755 (or 112748 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 11274100 is about 3357.6926601462. The cubic root of 11274100 is about 224.2301259571.

The spelling of 11274100 in words is "eleven million, two hundred seventy-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 112741 225482 450964 563705 1127410 2254820 2818525 5637050 11274100