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26029920 = 2535761127
BaseRepresentation
bin110001101001…
…0111101100000
31210222110100010
41203102331200
523130424140
62325524520
7434151660
oct143227540
953873303
1026029920
1113769734
128873740
135514c27
1436581a0
152442880
hex18d2f60

26029920 has 192 divisors, whose sum is σ = 95993856. Its totient is φ = 5806080.

The previous prime is 26029909. The next prime is 26029931. The reversal of 26029920 is 2992062.

It is an interprime number because it is at equal distance from previous prime (26029909) and next prime (26029931).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 204897 + ... + 205023.

It is an arithmetic number, because the mean of its divisors is an integer number (499968).

Almost surely, 226029920 is an apocalyptic number.

26029920 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 26029920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47996928).

26029920 is an abundant number, since it is smaller than the sum of its proper divisors (69963936).

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

26029920 is a wasteful number, since it uses less digits than its factorization.

26029920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 26029920 is about 5101.9525674001. The cubic root of 26029920 is about 296.3632015888.

The spelling of 26029920 in words is "twenty-six million, twenty-nine thousand, nine hundred twenty".