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13912000 = 26533747
BaseRepresentation
bin110101000100…
…011111000000
3222011210200021
4311010133000
512030141000
61214103224
7226151524
oct65043700
928153607
1013912000
117942323
1247aab14
132b6136b
141bc1d84
15134c11a
hexd447c0

13912000 has 112 divisors (see below), whose sum is σ = 36137088. Its totient is φ = 5299200.

The previous prime is 13911991. The next prime is 13912007. The reversal of 13912000 is 21931.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13912007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295977 + ... + 296023.

Almost surely, 213912000 is an apocalyptic number.

13912000 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 13912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18068544).

13912000 is an abundant number, since it is smaller than the sum of its proper divisors (22225088).

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

13912000 is an equidigital number, since it uses as much as digits as its factorization.

13912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 13912000 is about 3729.8793546173. The cubic root of 13912000 is about 240.5081824606.

Adding to 13912000 its reverse (21931), we get a palindrome (13933931).

The spelling of 13912000 in words is "thirteen million, nine hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 47 50 64 74 80 94 100 125 148 160 185 188 200 235 250 296 320 370 376 400 470 500 592 740 752 800 925 940 1000 1175 1184 1480 1504 1600 1739 1850 1880 2000 2350 2368 2960 3008 3478 3700 3760 4000 4625 4700 5875 5920 6956 7400 7520 8000 8695 9250 9400 11750 11840 13912 14800 15040 17390 18500 18800 23500 27824 29600 34780 37000 37600 43475 47000 55648 59200 69560 74000 75200 86950 94000 111296 139120 148000 173900 188000 217375 278240 296000 347800 376000 434750 556480 695600 869500 1391200 1739000 2782400 3478000 6956000 13912000