Search a number
-
+
26399280 = 2435293793
BaseRepresentation
bin110010010110…
…1001000110000
31211200020000010
41210231020300
523224234110
62341454520
7440250555
oct144551060
954606003
1026399280
11139a1196
128a11440
13561409b
143712a2c
1524b7020
hex192d230

26399280 has 80 divisors (see below), whose sum is σ = 84682080. Its totient is φ = 6795264.

The previous prime is 26399267. The next prime is 26399287. The reversal of 26399280 is 8299362.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (26399287) 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, 5064 + ... + 8856.

It is an arithmetic number, because the mean of its divisors is an integer number (1058526).

Almost surely, 226399280 is an apocalyptic number.

26399280 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 26399280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42341040).

26399280 is an abundant number, since it is smaller than the sum of its proper divisors (58282800).

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

26399280 is a wasteful number, since it uses less digits than its factorization.

26399280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3838 (or 3832 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 26399280 is about 5138.0229660834. The cubic root of 26399280 is about 297.7584036470.

The spelling of 26399280 in words is "twenty-six million, three hundred ninety-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3480 3793 6960 7586 11379 15172 18965 22758 30344 37930 45516 56895 60688 75860 91032 109997 113790 151720 182064 219994 227580 303440 329991 439988 455160 549985 659982 879976 910320 1099970 1319964 1649955 1759952 2199940 2639928 3299910 4399880 5279856 6599820 8799760 13199640 26399280