Search a number
-
+
26814320 = 24513192359
BaseRepresentation
bin110011001001…
…0011101110000
31212110022022222
41212102131300
523331024240
62354420212
7443626601
oct146223560
955408288
1026814320
1114154aa5
128b91668
13572ac80
1437bdda8
152549eb5
hex1992770

26814320 has 160 divisors (see below), whose sum is σ = 74995200. Its totient is φ = 8819712.

The previous prime is 26814317. The next prime is 26814323. The reversal of 26814320 is 2341862.

It is an interprime number because it is at equal distance from previous prime (26814317) and next prime (26814323).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 26814320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26814323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 454451 + ... + 454509.

It is an arithmetic number, because the mean of its divisors is an integer number (468720).

Almost surely, 226814320 is an apocalyptic number.

26814320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

26814320 is the 2990-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26814320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37497600).

26814320 is an abundant number, since it is smaller than the sum of its proper divisors (48180880).

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

26814320 is a wasteful number, since it uses less digits than its factorization.

26814320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 26814320 is about 5178.2545321759. The cubic root of 26814320 is about 299.3107137910.

The spelling of 26814320 in words is "twenty-six million, eight hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 19 20 23 26 38 40 46 52 59 65 76 80 92 95 104 115 118 130 152 184 190 208 230 236 247 260 295 299 304 368 380 437 460 472 494 520 590 598 760 767 874 920 944 988 1040 1121 1180 1196 1235 1357 1495 1520 1534 1748 1840 1976 2185 2242 2360 2392 2470 2714 2990 3068 3496 3835 3952 4370 4484 4720 4784 4940 5428 5605 5681 5980 6136 6785 6992 7670 8740 8968 9880 10856 11210 11362 11960 12272 13570 14573 15340 17480 17641 17936 19760 21712 22420 22724 23920 25783 27140 28405 29146 30680 34960 35282 44840 45448 51566 54280 56810 58292 61360 70564 72865 88205 89680 90896 103132 108560 113620 116584 128915 141128 145730 176410 206264 227240 233168 257830 282256 291460 335179 352820 412528 454480 515660 582920 670358 705640 1031320 1165840 1340716 1411280 1675895 2062640 2681432 3351790 5362864 6703580 13407160 26814320