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26608140 = 223251383137
BaseRepresentation
bin110010110000…
…0001000001100
31212001211111200
41211200020030
523302430030
62350145500
7442110516
oct145401014
955054450
1026608140
11140240a9
128ab2290
135688180
143768bb6
152508d60
hex196020c

26608140 has 144 divisors (see below), whose sum is σ = 88609248. Its totient is φ = 6423552.

The previous prime is 26608129. The next prime is 26608193. The reversal of 26608140 is 4180662.

It is a super-2 number, since 2×266081402 = 1415986228519200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194152 + ... + 194288.

It is an arithmetic number, because the mean of its divisors is an integer number (615342).

Almost surely, 226608140 is an apocalyptic number.

26608140 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 26608140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44304624).

26608140 is an abundant number, since it is smaller than the sum of its proper divisors (62001108).

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

26608140 is a wasteful number, since it uses less digits than its factorization.

26608140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 26608140 is about 5158.3078620804. The cubic root of 26608140 is about 298.5415882730.

The spelling of 26608140 in words is "twenty-six million, six hundred eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 83 90 117 130 137 156 166 180 195 234 249 260 274 332 390 411 415 468 498 548 585 685 747 780 822 830 996 1079 1170 1233 1245 1370 1494 1644 1660 1781 2055 2158 2340 2466 2490 2740 2988 3237 3562 3735 4110 4316 4932 4980 5343 5395 6165 6474 7124 7470 8220 8905 9711 10686 10790 11371 12330 12948 14940 16029 16185 17810 19422 21372 21580 22742 24660 26715 32058 32370 34113 35620 38844 45484 48555 53430 56855 64116 64740 68226 80145 97110 102339 106860 113710 136452 147823 160290 170565 194220 204678 227420 295646 320580 341130 409356 443469 511695 591292 682260 739115 886938 1023390 1330407 1478230 1773876 2046780 2217345 2660814 2956460 4434690 5321628 6652035 8869380 13304070 26608140