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11378500 = 225373251
BaseRepresentation
bin101011011001…
…111101000100
3210102002100221
4223121331010
510403103000
61043514124
7165500320
oct53317504
923362327
1011378500
116471921
123988944
132485153
141722980
15eeb61a
hexad9f44

11378500 has 48 divisors (see below), whose sum is σ = 28409472. Its totient is φ = 3900000.

The previous prime is 11378483. The next prime is 11378501. The reversal of 11378500 is 587311.

It is a hoax number, since the sum of its digits (25) 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 (25).

It is not an unprimeable number, because it can be changed into a prime (11378501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1875 + ... + 5125.

It is an arithmetic number, because the mean of its divisors is an integer number (591864).

Almost surely, 211378500 is an apocalyptic number.

11378500 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 11378500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14204736).

11378500 is an abundant number, since it is smaller than the sum of its proper divisors (17030972).

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

11378500 is a wasteful number, since it uses less digits than its factorization.

11378500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3277 (or 3265 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 25.

The square root of 11378500 is about 3373.2032254224. The cubic root of 11378500 is about 224.9201362648.

The spelling of 11378500 in words is "eleven million, three hundred seventy-eight thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 125 140 175 250 350 500 700 875 1750 3251 3500 6502 13004 16255 22757 32510 45514 65020 81275 91028 113785 162550 227570 325100 406375 455140 568925 812750 1137850 1625500 2275700 2844625 5689250 11378500