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11074000 = 245372113
BaseRepresentation
bin101010001111…
…100111010000
3202211121200011
4222033213100
510313332000
61033204304
7163061500
oct52174720
922747604
1011074000
116284073
123860694
1323a9682
141683a00
15e8b2ba
hexa8f9d0

11074000 has 120 divisors (see below), whose sum is σ = 31424328. Its totient is φ = 3763200.

The previous prime is 11073973. The next prime is 11074009. The reversal of 11074000 is 47011.

11074000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2917264 + 8156736 = 1708^2 + 2856^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11074009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97944 + ... + 98056.

Almost surely, 211074000 is an apocalyptic number.

11074000 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 11074000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15712164).

11074000 is an abundant number, since it is smaller than the sum of its proper divisors (20350328).

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

11074000 is a wasteful number, since it uses less digits than its factorization.

11074000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 11074000 is about 3327.7620107213. The cubic root of 11074000 is about 222.8956055839.

The spelling of 11074000 in words is "eleven million, seventy-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 113 125 140 175 196 200 226 245 250 280 350 392 400 452 490 500 560 565 700 784 791 875 904 980 1000 1130 1225 1400 1582 1750 1808 1960 2000 2260 2450 2800 2825 3164 3500 3920 3955 4520 4900 5537 5650 6125 6328 7000 7910 9040 9800 11074 11300 12250 12656 14000 14125 15820 19600 19775 22148 22600 24500 27685 28250 31640 39550 44296 45200 49000 55370 56500 63280 79100 88592 98000 98875 110740 113000 138425 158200 197750 221480 226000 276850 316400 395500 442960 553700 692125 791000 1107400 1384250 1582000 2214800 2768500 5537000 11074000