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26103168 = 273371383
BaseRepresentation
bin110001110010…
…0110110000000
31211010011211000
41203210312000
523140300133
62331252000
7434605350
oct143446600
954104730
1026103168
1113809773
1288aa000
13553c380
143676b60
152459413
hex18e4d80

26103168 has 256 divisors, whose sum is σ = 95961600. Its totient is φ = 6801408.

The previous prime is 26103151. The next prime is 26103197. The reversal of 26103168 is 86130162.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314455 + ... + 314537.

It is an arithmetic number, because the mean of its divisors is an integer number (374850).

Almost surely, 226103168 is an apocalyptic number.

26103168 is a gapful number since it is divisible by the number (28) 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 26103168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47980800).

26103168 is an abundant number, since it is smaller than the sum of its proper divisors (69858432).

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

26103168 is a wasteful number, since it uses less digits than its factorization.

26103168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 26103168 is about 5109.1259526459. The cubic root of 26103168 is about 296.6409291872.

It can be divided in two parts, 2610 and 3168, that added together give a triangular number (5778 = T107).

The spelling of 26103168 in words is "twenty-six million, one hundred three thousand, one hundred sixty-eight".