Search a number
-
+
26119104 = 2631183149
BaseRepresentation
bin110001110100…
…0101111000000
31211010222200020
41203220233000
523141302404
62331453440
7435002664
oct143505700
954128606
1026119104
111381a740
1288b7280
1355466bb
14367c8a4
15245ded9
hex18e8bc0

26119104 has 112 divisors (see below), whose sum is σ = 76809600. Its totient is φ = 7767040.

The previous prime is 26119087. The next prime is 26119117. The reversal of 26119104 is 40191162.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175222 + ... + 175370.

It is an arithmetic number, because the mean of its divisors is an integer number (685800).

Almost surely, 226119104 is an apocalyptic number.

26119104 is a gapful number since it is divisible by the number (24) 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 26119104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38404800).

26119104 is an abundant number, since it is smaller than the sum of its proper divisors (50690496).

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

26119104 is a wasteful number, since it uses less digits than its factorization.

26119104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 26119104 is about 5110.6852769467. The cubic root of 26119104 is about 296.7012833962.

The spelling of 26119104 in words is "twenty-six million, one hundred nineteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 83 88 96 132 149 166 176 192 249 264 298 332 352 447 498 528 596 664 704 894 913 996 1056 1192 1328 1639 1788 1826 1992 2112 2384 2656 2739 3278 3576 3652 3984 4768 4917 5312 5478 6556 7152 7304 7968 9536 9834 10956 12367 13112 14304 14608 15936 19668 21912 24734 26224 28608 29216 37101 39336 43824 49468 52448 58432 74202 78672 87648 98936 104896 136037 148404 157344 175296 197872 272074 296808 314688 395744 408111 544148 593616 791488 816222 1088296 1187232 1632444 2176592 2374464 3264888 4353184 6529776 8706368 13059552 26119104