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26328330 = 2325723279
BaseRepresentation
bin110010001101…
…1110100001010
31211112121200100
41210123310022
523220001310
62340150230
7436533660
oct144336412
954477610
1026328330
1113952956
128998376
1355ba9c2
1436d4c30
1524a0ec0
hex191bd0a

26328330 has 144 divisors (see below), whose sum is σ = 82817280. Its totient is φ = 5683392.

The previous prime is 26328329. The next prime is 26328361. The reversal of 26328330 is 3382362.

26328330 is a `hidden beast` number, since 2 + 6 + 328 + 330 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 26328294 and 26328303.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 333231 + ... + 333309.

It is an arithmetic number, because the mean of its divisors is an integer number (575120).

Almost surely, 226328330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26328330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41408640).

26328330 is an abundant number, since it is smaller than the sum of its proper divisors (56488950).

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

26328330 is a wasteful number, since it uses less digits than its factorization.

26328330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 26328330 is about 5131.1139141516. The cubic root of 26328330 is about 297.4914151420.

The spelling of 26328330 in words is "twenty-six million, three hundred twenty-eight thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 23 30 35 42 45 46 63 69 70 79 90 105 115 126 138 158 161 207 210 230 237 315 322 345 395 414 474 483 529 553 630 690 711 790 805 966 1035 1058 1106 1185 1422 1449 1587 1610 1659 1817 2070 2370 2415 2645 2765 2898 3174 3318 3555 3634 3703 4761 4830 4977 5290 5451 5530 7110 7245 7406 7935 8295 9085 9522 9954 10902 11109 12719 14490 15870 16353 16590 18170 18515 22218 23805 24885 25438 27255 32706 33327 37030 38157 41791 47610 49770 54510 55545 63595 66654 76314 81765 83582 111090 114471 125373 127190 163530 166635 190785 208955 228942 250746 292537 333270 376119 381570 417910 572355 585074 626865 752238 877611 1144710 1253730 1462685 1755222 1880595 2632833 2925370 3761190 4388055 5265666 8776110 13164165 26328330