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26097120 = 253357863
BaseRepresentation
bin110001110001…
…1010111100000
31211002212112000
41203203113200
523140101440
62331204000
7434551620
oct143432740
954085460
1026097120
1113805175
1288a6600
1355396aa
143674880
152457730
hex18e35e0

26097120 has 192 divisors, whose sum is σ = 104509440. Its totient is φ = 5958144.

The previous prime is 26097101. The next prime is 26097131. The reversal of 26097120 is 2179062.

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

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, 29809 + ... + 30671.

It is an arithmetic number, because the mean of its divisors is an integer number (544320).

Almost surely, 226097120 is an apocalyptic number.

26097120 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 26097120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52254720).

26097120 is an abundant number, since it is smaller than the sum of its proper divisors (78412320).

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

26097120 is a wasteful number, since it uses less digits than its factorization.

26097120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 26097120 is about 5108.5340362965. The cubic root of 26097120 is about 296.6180172439.

The spelling of 26097120 in words is "twenty-six million, ninety-seven thousand, one hundred twenty".