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26430900 = 22352194637
BaseRepresentation
bin110010011010…
…0110110110100
31211201211101020
41210310312310
523231242100
62342301140
7440442006
oct144646664
954654336
1026430900
1113a12a21
128a277b0
1356255b2
143720376
1524c15a0
hex1934db4

26430900 has 72 divisors (see below), whose sum is σ = 80515680. Its totient is φ = 6675840.

The previous prime is 26430893. The next prime is 26430931. The reversal of 26430900 is 903462.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3382 + ... + 8018.

Almost surely, 226430900 is an apocalyptic number.

26430900 is a gapful number since it is divisible by the number (20) 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 26430900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40257840).

26430900 is an abundant number, since it is smaller than the sum of its proper divisors (54084780).

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

26430900 is a wasteful number, since it uses less digits than its factorization.

26430900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4673 (or 4666 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 26430900 is about 5141.0991042772. The cubic root of 26430900 is about 297.8772372440.

The spelling of 26430900 in words is "twenty-six million, four hundred thirty thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 4637 5700 9274 13911 18548 23185 27822 46370 55644 69555 88103 92740 115925 139110 176206 231850 264309 278220 347775 352412 440515 463700 528618 695550 881030 1057236 1321545 1391100 1762060 2202575 2643090 4405150 5286180 6607725 8810300 13215450 26430900