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26144140 = 22511151787
BaseRepresentation
bin110001110111…
…0110110001100
31211012021000111
41203232312030
523143103030
62332205404
7435135661
oct143566614
954167014
1026144140
1113837530
128909864
135554c09
143687a68
15246662a
hex18eed8c

26144140 has 48 divisors (see below), whose sum is σ = 60367104. Its totient is φ = 9432000.

The previous prime is 26144081. The next prime is 26144143. The reversal of 26144140 is 4144162.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (26144143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32827 + ... + 33613.

It is an arithmetic number, because the mean of its divisors is an integer number (1257648).

Almost surely, 226144140 is an apocalyptic number.

26144140 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 26144140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30183552).

26144140 is an abundant number, since it is smaller than the sum of its proper divisors (34222964).

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

26144140 is a wasteful number, since it uses less digits than its factorization.

26144140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 26144140 is about 5113.1340682599. The cubic root of 26144140 is about 296.7960523592.

Adding to 26144140 its sum of digits (22), we get a palindrome (26144162).

The spelling of 26144140 in words is "twenty-six million, one hundred forty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 151 220 302 604 755 787 1510 1574 1661 3020 3148 3322 3935 6644 7870 8305 8657 15740 16610 17314 33220 34628 43285 86570 118837 173140 237674 475348 594185 1188370 1307207 2376740 2614414 5228828 6536035 13072070 26144140