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11374000 = 245311247
BaseRepresentation
bin101011011000…
…110110110000
3210101212012021
4223120312300
510402432000
61043441224
7165451231
oct53306660
923355167
1011374000
116469500
123986214
1324830a1
141721088
15eea11a
hexad8db0

11374000 has 120 divisors (see below), whose sum is σ = 30873024. Its totient is φ = 4048000.

The previous prime is 11373997. The next prime is 11374007. The reversal of 11374000 is 47311.

11374000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (11374007) 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, 241977 + ... + 242023.

Almost surely, 211374000 is an apocalyptic number.

11374000 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 11374000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15436512).

11374000 is an abundant number, since it is smaller than the sum of its proper divisors (19499024).

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

11374000 is a wasteful number, since it uses less digits than its factorization.

11374000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 11374000 is about 3372.5361376863. The cubic root of 11374000 is about 224.8904816802.

The spelling of 11374000 in words is "eleven million, three hundred seventy-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 47 50 55 80 88 94 100 110 121 125 176 188 200 220 235 242 250 275 376 400 440 470 484 500 517 550 605 752 880 940 968 1000 1034 1100 1175 1210 1375 1880 1936 2000 2068 2200 2350 2420 2585 2750 3025 3760 4136 4400 4700 4840 5170 5500 5687 5875 6050 8272 9400 9680 10340 11000 11374 11750 12100 12925 15125 18800 20680 22000 22748 23500 24200 25850 28435 30250 41360 45496 47000 48400 51700 56870 60500 64625 90992 94000 103400 113740 121000 129250 142175 206800 227480 242000 258500 284350 454960 517000 568700 710875 1034000 1137400 1421750 2274800 2843500 5687000 11374000