Search a number
-
+
26073900 = 2235522937
BaseRepresentation
bin110001101110…
…1101100101100
31211001200200000
41203131230230
523133331100
62330504300
7434424126
oct143355454
954050600
1026073900
1113799786
128895090
13552bc58
14366a216
152450900
hex18ddb2c

26073900 has 216 divisors, whose sum is σ = 90046320. Its totient is φ = 6531840.

The previous prime is 26073889. The next prime is 26073907. The reversal of 26073900 is 937062.

It is a super-2 number, since 2×260739002 = 1359696522420000, 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 (26073907) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 704682 + ... + 704718.

Almost surely, 226073900 is an apocalyptic number.

26073900 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 26073900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45023160).

26073900 is an abundant number, since it is smaller than the sum of its proper divisors (63972420).

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

26073900 is a wasteful number, since it uses less digits than its factorization.

26073900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 26073900 is about 5106.2608629015. The cubic root of 26073900 is about 296.5300188480.

The spelling of 26073900 in words is "twenty-six million, seventy-three thousand, nine hundred".