Search a number
-
+
26003970 = 23351937137
BaseRepresentation
bin110001100110…
…0101000000010
31210221010202000
41203030220002
523124111340
62325204430
7434013216
oct143145002
953833660
1026003970
1113751193
128860716
135506185
14364c946
152439d30
hex18cca02

26003970 has 128 divisors (see below), whose sum is σ = 75513600. Its totient is φ = 6345216.

The previous prime is 26003969. The next prime is 26003977. The reversal of 26003970 is 7930062.

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

It is not an unprimeable number, because it can be changed into a prime (26003977) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 189742 + ... + 189878.

It is an arithmetic number, because the mean of its divisors is an integer number (589950).

Almost surely, 226003970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26003970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37756800).

26003970 is an abundant number, since it is smaller than the sum of its proper divisors (49509630).

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

26003970 is a wasteful number, since it uses less digits than its factorization.

26003970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 26003970 is about 5099.4087892618. The cubic root of 26003970 is about 296.2646844187.

The spelling of 26003970 in words is "twenty-six million, three thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 37 38 45 54 57 74 90 95 111 114 135 137 171 185 190 222 270 274 285 333 342 370 411 513 555 570 666 685 703 822 855 999 1026 1110 1233 1370 1406 1665 1710 1998 2055 2109 2466 2565 2603 3330 3515 3699 4110 4218 4995 5069 5130 5206 6165 6327 7030 7398 7809 9990 10138 10545 12330 12654 13015 15207 15618 18495 18981 21090 23427 25345 26030 30414 31635 36990 37962 39045 45621 46854 50690 63270 70281 76035 78090 91242 94905 96311 117135 136863 140562 152070 189810 192622 228105 234270 273726 288933 351405 456210 481555 577866 684315 702810 866799 963110 1368630 1444665 1733598 2600397 2889330 4333995 5200794 8667990 13001985 26003970