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26316900 = 223652192
BaseRepresentation
bin110010001100…
…1000001100100
31211112001000000
41210121001210
523214120100
62340021300
7436455441
oct144310144
954461000
1026316900
1113945305
128991830
1355b573c
1436d09c8
15249c900
hex1919064

26316900 has 189 divisors, whose sum is σ = 90365961. Its totient is φ = 6648480.

The previous prime is 26316889. The next prime is 26316907. The reversal of 26316900 is 961362.

It is a happy number.

The square root of 26316900 is 5130.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9474084 + 16842816 = 3078^2 + 4104^2 .

It is a super-2 number, since 2×263169002 = 1385158451220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (26316907) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1385091 + ... + 1385109.

Almost surely, 226316900 is an apocalyptic number.

26316900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

26316900 is the 5130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26316900

26316900 is an abundant number, since it is smaller than the sum of its proper divisors (64049061).

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

26316900 is a wasteful number, since it uses less digits than its factorization.

26316900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The cubic root of 26316900 is about 297.4483586187.

The spelling of 26316900 in words is "twenty-six million, three hundred sixteen thousand, nine hundred".